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Finding the Third Proportional to 31,915 and 66,455

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Solution

The third proportional to 31,915 and 66,455 is: 138,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,915 : 66,455 = 66,455 : x
  2. Step 2: Convert to fraction form
    31,915/66,455 = 66,455/x
  3. Step 3: Cross multiply
    31,915x = 66,455 × 66,455
  4. Step 4: Simplify right side
    31,915x = 4,416,267,025
  5. Step 5: Solve for x
    x = 4,416,267,025/31,915
  6. Step 6: Final answer
    x = 138,375.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.