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Finding the Third Proportional to 137,988.56 and 207,666.28

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Solution

The third proportional to 137,988.56 and 207,666.28 is: 312,527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,988.56 : 207,666.28 = 207,666.28 : x
  2. Step 2: Convert to fraction form
    137,988.56/207,666.28 = 207,666.28/x
  3. Step 3: Cross multiply
    137,988.56x = 207,666.28 × 207,666.28
  4. Step 4: Simplify right side
    137,988.56x = 43,125,284,368.20
  5. Step 5: Solve for x
    x = 43,125,284,368.20/137,988.56
  6. Step 6: Final answer
    x = 312,527.96

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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.