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Finding the Third Proportional to 245,663 and 520,851

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Solution

The third proportional to 245,663 and 520,851 is: 1,104,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,663 : 520,851 = 520,851 : x
  2. Step 2: Convert to fraction form
    245,663/520,851 = 520,851/x
  3. Step 3: Cross multiply
    245,663x = 520,851 × 520,851
  4. Step 4: Simplify right side
    245,663x = 271,285,764,201
  5. Step 5: Solve for x
    x = 271,285,764,201/245,663
  6. Step 6: Final answer
    x = 1,104,300.46

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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.