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Finding the Third Proportional to 61,430 and 129,419

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Solution

The third proportional to 61,430 and 129,419 is: 272,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,430 : 129,419 = 129,419 : x
  2. Step 2: Convert to fraction form
    61,430/129,419 = 129,419/x
  3. Step 3: Cross multiply
    61,430x = 129,419 × 129,419
  4. Step 4: Simplify right side
    61,430x = 16,749,277,561
  5. Step 5: Solve for x
    x = 16,749,277,561/61,430
  6. Step 6: Final answer
    x = 272,656.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.