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Finding the Third Proportional to 87,938 and 207,383

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Solution

The third proportional to 87,938 and 207,383 is: 489,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,938 : 207,383 = 207,383 : x
  2. Step 2: Convert to fraction form
    87,938/207,383 = 207,383/x
  3. Step 3: Cross multiply
    87,938x = 207,383 × 207,383
  4. Step 4: Simplify right side
    87,938x = 43,007,708,689
  5. Step 5: Solve for x
    x = 43,007,708,689/87,938
  6. Step 6: Final answer
    x = 489,068.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.