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Finding the Third Proportional to 71,657 and 155,585

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Solution

The third proportional to 71,657 and 155,585 is: 337,813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,657 : 155,585 = 155,585 : x
  2. Step 2: Convert to fraction form
    71,657/155,585 = 155,585/x
  3. Step 3: Cross multiply
    71,657x = 155,585 × 155,585
  4. Step 4: Simplify right side
    71,657x = 24,206,692,225
  5. Step 5: Solve for x
    x = 24,206,692,225/71,657
  6. Step 6: Final answer
    x = 337,813.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.