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Finding the Third Proportional to 31,618.13 and 66,157.88

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Solution

The third proportional to 31,618.13 and 66,157.88 is: 138,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,618.13 : 66,157.88 = 66,157.88 : x
  2. Step 2: Convert to fraction form
    31,618.13/66,157.88 = 66,157.88/x
  3. Step 3: Cross multiply
    31,618.13x = 66,157.88 × 66,157.88
  4. Step 4: Simplify right side
    31,618.13x = 4,376,864,424.52
  5. Step 5: Solve for x
    x = 4,376,864,424.52/31,618.13
  6. Step 6: Final answer
    x = 138,428.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.