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Finding the Third Proportional to 90,578 and 137,739

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Solution

The third proportional to 90,578 and 137,739 is: 209,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,578 : 137,739 = 137,739 : x
  2. Step 2: Convert to fraction form
    90,578/137,739 = 137,739/x
  3. Step 3: Cross multiply
    90,578x = 137,739 × 137,739
  4. Step 4: Simplify right side
    90,578x = 18,972,032,121
  5. Step 5: Solve for x
    x = 18,972,032,121/90,578
  6. Step 6: Final answer
    x = 209,455.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.