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Finding the Third Proportional to 71,684 and 155,636

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Solution

The third proportional to 71,684 and 155,636 is: 337,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,684 : 155,636 = 155,636 : x
  2. Step 2: Convert to fraction form
    71,684/155,636 = 155,636/x
  3. Step 3: Cross multiply
    71,684x = 155,636 × 155,636
  4. Step 4: Simplify right side
    71,684x = 24,222,564,496
  5. Step 5: Solve for x
    x = 24,222,564,496/71,684
  6. Step 6: Final answer
    x = 337,907.55

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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.