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Finding the Third Proportional to 60,446 and 129,813

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Solution

The third proportional to 60,446 and 129,813 is: 278,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,446 : 129,813 = 129,813 : x
  2. Step 2: Convert to fraction form
    60,446/129,813 = 129,813/x
  3. Step 3: Cross multiply
    60,446x = 129,813 × 129,813
  4. Step 4: Simplify right side
    60,446x = 16,851,414,969
  5. Step 5: Solve for x
    x = 16,851,414,969/60,446
  6. Step 6: Final answer
    x = 278,784.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.