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Finding the Third Proportional to 85,414 and 137,230

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Solution

The third proportional to 85,414 and 137,230 is: 220,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,414 : 137,230 = 137,230 : x
  2. Step 2: Convert to fraction form
    85,414/137,230 = 137,230/x
  3. Step 3: Cross multiply
    85,414x = 137,230 × 137,230
  4. Step 4: Simplify right side
    85,414x = 18,832,072,900
  5. Step 5: Solve for x
    x = 18,832,072,900/85,414
  6. Step 6: Final answer
    x = 220,479.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.