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Finding the Third Proportional to 60,457.50 and 129,663

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Solution

The third proportional to 60,457.50 and 129,663 is: 278,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,457.50 : 129,663 = 129,663 : x
  2. Step 2: Convert to fraction form
    60,457.50/129,663 = 129,663/x
  3. Step 3: Cross multiply
    60,457.50x = 129,663 × 129,663
  4. Step 4: Simplify right side
    60,457.50x = 16,812,493,569
  5. Step 5: Solve for x
    x = 16,812,493,569/60,457.50
  6. Step 6: Final answer
    x = 278,087.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.