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Finding the Third Proportional to 71,581 and 157,468

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Solution

The third proportional to 71,581 and 157,468 is: 346,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,581 : 157,468 = 157,468 : x
  2. Step 2: Convert to fraction form
    71,581/157,468 = 157,468/x
  3. Step 3: Cross multiply
    71,581x = 157,468 × 157,468
  4. Step 4: Simplify right side
    71,581x = 24,796,171,024
  5. Step 5: Solve for x
    x = 24,796,171,024/71,581
  6. Step 6: Final answer
    x = 346,407.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.