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Finding the Third Proportional to 99,743 and 218,254

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Solution

The third proportional to 99,743 and 218,254 is: 477,575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,743 : 218,254 = 218,254 : x
  2. Step 2: Convert to fraction form
    99,743/218,254 = 218,254/x
  3. Step 3: Cross multiply
    99,743x = 218,254 × 218,254
  4. Step 4: Simplify right side
    99,743x = 47,634,808,516
  5. Step 5: Solve for x
    x = 47,634,808,516/99,743
  6. Step 6: Final answer
    x = 477,575.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.