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Finding the Third Proportional to 137,126.25 and 211,906.13

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Solution

The third proportional to 137,126.25 and 211,906.13 is: 327,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,126.25 : 211,906.13 = 211,906.13 : x
  2. Step 2: Convert to fraction form
    137,126.25/211,906.13 = 211,906.13/x
  3. Step 3: Cross multiply
    137,126.25x = 211,906.13 × 211,906.13
  4. Step 4: Simplify right side
    137,126.25x = 44,904,205,812.52
  5. Step 5: Solve for x
    x = 44,904,205,812.52/137,126.25
  6. Step 6: Final answer
    x = 327,466.15

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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.