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Finding the Third Proportional to 61,476 and 129,516

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Solution

The third proportional to 61,476 and 129,516 is: 272,860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,476 : 129,516 = 129,516 : x
  2. Step 2: Convert to fraction form
    61,476/129,516 = 129,516/x
  3. Step 3: Cross multiply
    61,476x = 129,516 × 129,516
  4. Step 4: Simplify right side
    61,476x = 16,774,394,256
  5. Step 5: Solve for x
    x = 16,774,394,256/61,476
  6. Step 6: Final answer
    x = 272,860.86

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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.