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Finding the Third Proportional to 137,281 and 251,781

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Solution

The third proportional to 137,281 and 251,781 is: 461,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,281 : 251,781 = 251,781 : x
  2. Step 2: Convert to fraction form
    137,281/251,781 = 251,781/x
  3. Step 3: Cross multiply
    137,281x = 251,781 × 251,781
  4. Step 4: Simplify right side
    137,281x = 63,393,671,961
  5. Step 5: Solve for x
    x = 63,393,671,961/137,281
  6. Step 6: Final answer
    x = 461,780.38

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.