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Finding the Third Proportional to 225,301,127,445.50 and 477,463,408,795

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Solution

The third proportional to 225,301,127,445.50 and 477,463,408,795 is: 1,011,851,602,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,301,127,445.50 : 477,463,408,795 = 477,463,408,795 : x
  2. Step 2: Convert to fraction form
    225,301,127,445.50/477,463,408,795 = 477,463,408,795/x
  3. Step 3: Cross multiply
    225,301,127,445.50x = 477,463,408,795 × 477,463,408,795
  4. Step 4: Simplify right side
    225,301,127,445.50x = 227,971,306,738,141,276,143,616
  5. Step 5: Solve for x
    x = 227,971,306,738,141,276,143,616/225,301,127,445.50
  6. Step 6: Final answer
    x = 1,011,851,602,000.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.