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Finding the Third Proportional to 71,420 and 155,544

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Solution

The third proportional to 71,420 and 155,544 is: 338,755.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,420 : 155,544 = 155,544 : x
  2. Step 2: Convert to fraction form
    71,420/155,544 = 155,544/x
  3. Step 3: Cross multiply
    71,420x = 155,544 × 155,544
  4. Step 4: Simplify right side
    71,420x = 24,193,935,936
  5. Step 5: Solve for x
    x = 24,193,935,936/71,420
  6. Step 6: Final answer
    x = 338,755.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.