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Finding the Third Proportional to 31,141.97 and 68,708.25

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Solution

The third proportional to 31,141.97 and 68,708.25 is: 151,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,141.97 : 68,708.25 = 68,708.25 : x
  2. Step 2: Convert to fraction form
    31,141.97/68,708.25 = 68,708.25/x
  3. Step 3: Cross multiply
    31,141.97x = 68,708.25 × 68,708.25
  4. Step 4: Simplify right side
    31,141.97x = 4,720,823,618.06
  5. Step 5: Solve for x
    x = 4,720,823,618.06/31,141.97
  6. Step 6: Final answer
    x = 151,590.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.