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Finding the Third Proportional to 137,384 and 283,592

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Solution

The third proportional to 137,384 and 283,592 is: 585,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,384 : 283,592 = 283,592 : x
  2. Step 2: Convert to fraction form
    137,384/283,592 = 283,592/x
  3. Step 3: Cross multiply
    137,384x = 283,592 × 283,592
  4. Step 4: Simplify right side
    137,384x = 80,424,422,464
  5. Step 5: Solve for x
    x = 80,424,422,464/137,384
  6. Step 6: Final answer
    x = 585,398.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.