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Finding the Third Proportional to 157,750 and 221,350

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Solution

The third proportional to 157,750 and 221,350 is: 310,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,750 : 221,350 = 221,350 : x
  2. Step 2: Convert to fraction form
    157,750/221,350 = 221,350/x
  3. Step 3: Cross multiply
    157,750x = 221,350 × 221,350
  4. Step 4: Simplify right side
    157,750x = 48,995,822,500
  5. Step 5: Solve for x
    x = 48,995,822,500/157,750
  6. Step 6: Final answer
    x = 310,591.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.