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Finding the Third Proportional to 71,580 and 157,320

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Solution

The third proportional to 71,580 and 157,320 is: 345,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,580 : 157,320 = 157,320 : x
  2. Step 2: Convert to fraction form
    71,580/157,320 = 157,320/x
  3. Step 3: Cross multiply
    71,580x = 157,320 × 157,320
  4. Step 4: Simplify right side
    71,580x = 24,749,582,400
  5. Step 5: Solve for x
    x = 24,749,582,400/71,580
  6. Step 6: Final answer
    x = 345,761.14

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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.