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Finding the Third Proportional to 57,785.25 and 86,445

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Solution

The third proportional to 57,785.25 and 86,445 is: 129,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,785.25 : 86,445 = 86,445 : x
  2. Step 2: Convert to fraction form
    57,785.25/86,445 = 86,445/x
  3. Step 3: Cross multiply
    57,785.25x = 86,445 × 86,445
  4. Step 4: Simplify right side
    57,785.25x = 7,472,738,025
  5. Step 5: Solve for x
    x = 7,472,738,025/57,785.25
  6. Step 6: Final answer
    x = 129,319.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.