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Finding the Third Proportional to 77,500.13 and 109,693.13

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Solution

The third proportional to 77,500.13 and 109,693.13 is: 155,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,500.13 : 109,693.13 = 109,693.13 : x
  2. Step 2: Convert to fraction form
    77,500.13/109,693.13 = 109,693.13/x
  3. Step 3: Cross multiply
    77,500.13x = 109,693.13 × 109,693.13
  4. Step 4: Simplify right side
    77,500.13x = 12,032,581,672.27
  5. Step 5: Solve for x
    x = 12,032,581,672.27/77,500.13
  6. Step 6: Final answer
    x = 155,258.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.