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Finding the Third Proportional to 71,555 and 155,401

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Solution

The third proportional to 71,555 and 155,401 is: 337,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,555 : 155,401 = 155,401 : x
  2. Step 2: Convert to fraction form
    71,555/155,401 = 155,401/x
  3. Step 3: Cross multiply
    71,555x = 155,401 × 155,401
  4. Step 4: Simplify right side
    71,555x = 24,149,470,801
  5. Step 5: Solve for x
    x = 24,149,470,801/71,555
  6. Step 6: Final answer
    x = 337,495.22

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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.