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Finding the Third Proportional to 137,747.11 and 212,854.36

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Solution

The third proportional to 137,747.11 and 212,854.36 is: 328,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,747.11 : 212,854.36 = 212,854.36 : x
  2. Step 2: Convert to fraction form
    137,747.11/212,854.36 = 212,854.36/x
  3. Step 3: Cross multiply
    137,747.11x = 212,854.36 × 212,854.36
  4. Step 4: Simplify right side
    137,747.11x = 45,306,978,304.94
  5. Step 5: Solve for x
    x = 45,306,978,304.94/137,747.11
  6. Step 6: Final answer
    x = 328,914.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.