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Finding the Third Proportional to 137,500 and 218,791

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Solution

The third proportional to 137,500 and 218,791 is: 348,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,500 : 218,791 = 218,791 : x
  2. Step 2: Convert to fraction form
    137,500/218,791 = 218,791/x
  3. Step 3: Cross multiply
    137,500x = 218,791 × 218,791
  4. Step 4: Simplify right side
    137,500x = 47,869,501,681
  5. Step 5: Solve for x
    x = 47,869,501,681/137,500
  6. Step 6: Final answer
    x = 348,141.83

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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.