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Finding the Third Proportional to 15,917.25 and 31,431.75

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Solution

The third proportional to 15,917.25 and 31,431.75 is: 62,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,917.25 : 31,431.75 = 31,431.75 : x
  2. Step 2: Convert to fraction form
    15,917.25/31,431.75 = 31,431.75/x
  3. Step 3: Cross multiply
    15,917.25x = 31,431.75 × 31,431.75
  4. Step 4: Simplify right side
    15,917.25x = 987,954,908.06
  5. Step 5: Solve for x
    x = 987,954,908.06/15,917.25
  6. Step 6: Final answer
    x = 62,068.19

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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.