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Finding the Third Proportional to 137,516.38 and 218,815.75

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Solution

The third proportional to 137,516.38 and 218,815.75 is: 348,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,516.38 : 218,815.75 = 218,815.75 : x
  2. Step 2: Convert to fraction form
    137,516.38/218,815.75 = 218,815.75/x
  3. Step 3: Cross multiply
    137,516.38x = 218,815.75 × 218,815.75
  4. Step 4: Simplify right side
    137,516.38x = 47,880,332,448.06
  5. Step 5: Solve for x
    x = 47,880,332,448.06/137,516.38
  6. Step 6: Final answer
    x = 348,179.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.