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Finding the Third Proportional to 71,572 and 161,407

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Solution

The third proportional to 71,572 and 161,407 is: 364,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,572 : 161,407 = 161,407 : x
  2. Step 2: Convert to fraction form
    71,572/161,407 = 161,407/x
  3. Step 3: Cross multiply
    71,572x = 161,407 × 161,407
  4. Step 4: Simplify right side
    71,572x = 26,052,219,649
  5. Step 5: Solve for x
    x = 26,052,219,649/71,572
  6. Step 6: Final answer
    x = 364,000.16

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.