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Finding the Third Proportional to 138,639.25 and 207,034.88

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Solution

The third proportional to 138,639.25 and 207,034.88 is: 309,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,639.25 : 207,034.88 = 207,034.88 : x
  2. Step 2: Convert to fraction form
    138,639.25/207,034.88 = 207,034.88/x
  3. Step 3: Cross multiply
    138,639.25x = 207,034.88 × 207,034.88
  4. Step 4: Simplify right side
    138,639.25x = 42,863,439,466.27
  5. Step 5: Solve for x
    x = 42,863,439,466.27/138,639.25
  6. Step 6: Final answer
    x = 309,172.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.