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Finding the Third Proportional to 71,572 and 157,304

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Solution

The third proportional to 71,572 and 157,304 is: 345,729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,572 : 157,304 = 157,304 : x
  2. Step 2: Convert to fraction form
    71,572/157,304 = 157,304/x
  3. Step 3: Cross multiply
    71,572x = 157,304 × 157,304
  4. Step 4: Simplify right side
    71,572x = 24,744,548,416
  5. Step 5: Solve for x
    x = 24,744,548,416/71,572
  6. Step 6: Final answer
    x = 345,729.45

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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.