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Finding the Third Proportional to 87,875 and 207,353

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Solution

The third proportional to 87,875 and 207,353 is: 489,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,875 : 207,353 = 207,353 : x
  2. Step 2: Convert to fraction form
    87,875/207,353 = 207,353/x
  3. Step 3: Cross multiply
    87,875x = 207,353 × 207,353
  4. Step 4: Simplify right side
    87,875x = 42,995,266,609
  5. Step 5: Solve for x
    x = 42,995,266,609/87,875
  6. Step 6: Final answer
    x = 489,277.57

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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.