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Finding the Third Proportional to 138,148.88 and 206,371.13

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Solution

The third proportional to 138,148.88 and 206,371.13 is: 308,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,148.88 : 206,371.13 = 206,371.13 : x
  2. Step 2: Convert to fraction form
    138,148.88/206,371.13 = 206,371.13/x
  3. Step 3: Cross multiply
    138,148.88x = 206,371.13 × 206,371.13
  4. Step 4: Simplify right side
    138,148.88x = 42,589,041,233.77
  5. Step 5: Solve for x
    x = 42,589,041,233.77/138,148.88
  6. Step 6: Final answer
    x = 308,283.66

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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.