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Finding the Third Proportional to 61,608 and 129,656

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Solution

The third proportional to 61,608 and 129,656 is: 272,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,608 : 129,656 = 129,656 : x
  2. Step 2: Convert to fraction form
    61,608/129,656 = 129,656/x
  3. Step 3: Cross multiply
    61,608x = 129,656 × 129,656
  4. Step 4: Simplify right side
    61,608x = 16,810,678,336
  5. Step 5: Solve for x
    x = 16,810,678,336/61,608
  6. Step 6: Final answer
    x = 272,865.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.