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Finding the Third Proportional to 172,003.78 and 252,949.78

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Solution

The third proportional to 172,003.78 and 252,949.78 is: 371,989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,003.78 : 252,949.78 = 252,949.78 : x
  2. Step 2: Convert to fraction form
    172,003.78/252,949.78 = 252,949.78/x
  3. Step 3: Cross multiply
    172,003.78x = 252,949.78 × 252,949.78
  4. Step 4: Simplify right side
    172,003.78x = 63,983,591,834.42
  5. Step 5: Solve for x
    x = 63,983,591,834.42/172,003.78
  6. Step 6: Final answer
    x = 371,989.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.