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Finding the Third Proportional to 138,713.06 and 208,069.88

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Solution

The third proportional to 138,713.06 and 208,069.88 is: 312,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,713.06 : 208,069.88 = 208,069.88 : x
  2. Step 2: Convert to fraction form
    138,713.06/208,069.88 = 208,069.88/x
  3. Step 3: Cross multiply
    138,713.06x = 208,069.88 × 208,069.88
  4. Step 4: Simplify right side
    138,713.06x = 43,293,072,882.52
  5. Step 5: Solve for x
    x = 43,293,072,882.52/138,713.06
  6. Step 6: Final answer
    x = 312,105.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.