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Finding the Third Proportional to 57,515 and 77,295

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Solution

The third proportional to 57,515 and 77,295 is: 103,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,515 : 77,295 = 77,295 : x
  2. Step 2: Convert to fraction form
    57,515/77,295 = 77,295/x
  3. Step 3: Cross multiply
    57,515x = 77,295 × 77,295
  4. Step 4: Simplify right side
    57,515x = 5,974,517,025
  5. Step 5: Solve for x
    x = 5,974,517,025/57,515
  6. Step 6: Final answer
    x = 103,877.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.