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Finding the Third Proportional to 71,042 and 155,620

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Solution

The third proportional to 71,042 and 155,620 is: 340,891.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,042 : 155,620 = 155,620 : x
  2. Step 2: Convert to fraction form
    71,042/155,620 = 155,620/x
  3. Step 3: Cross multiply
    71,042x = 155,620 × 155,620
  4. Step 4: Simplify right side
    71,042x = 24,217,584,400
  5. Step 5: Solve for x
    x = 24,217,584,400/71,042
  6. Step 6: Final answer
    x = 340,891.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.