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Finding the Third Proportional to 71,560 and 155,420

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Solution

The third proportional to 71,560 and 155,420 is: 337,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,560 : 155,420 = 155,420 : x
  2. Step 2: Convert to fraction form
    71,560/155,420 = 155,420/x
  3. Step 3: Cross multiply
    71,560x = 155,420 × 155,420
  4. Step 4: Simplify right side
    71,560x = 24,155,376,400
  5. Step 5: Solve for x
    x = 24,155,376,400/71,560
  6. Step 6: Final answer
    x = 337,554.17

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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.