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Finding the Third Proportional to 15,915 and 31,427.25

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Solution

The third proportional to 15,915 and 31,427.25 is: 62,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915 : 31,427.25 = 31,427.25 : x
  2. Step 2: Convert to fraction form
    15,915/31,427.25 = 31,427.25/x
  3. Step 3: Cross multiply
    15,915x = 31,427.25 × 31,427.25
  4. Step 4: Simplify right side
    15,915x = 987,672,042.56
  5. Step 5: Solve for x
    x = 987,672,042.56/15,915
  6. Step 6: Final answer
    x = 62,059.19

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.