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Finding the Third Proportional to 71,468 and 161,147

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Solution

The third proportional to 71,468 and 161,147 is: 363,356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,468 : 161,147 = 161,147 : x
  2. Step 2: Convert to fraction form
    71,468/161,147 = 161,147/x
  3. Step 3: Cross multiply
    71,468x = 161,147 × 161,147
  4. Step 4: Simplify right side
    71,468x = 25,968,355,609
  5. Step 5: Solve for x
    x = 25,968,355,609/71,468
  6. Step 6: Final answer
    x = 363,356.41

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.