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Finding the Third Proportional to 83,178.38 and 180,369.56

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Solution

The third proportional to 83,178.38 and 180,369.56 is: 391,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178.38 : 180,369.56 = 180,369.56 : x
  2. Step 2: Convert to fraction form
    83,178.38/180,369.56 = 180,369.56/x
  3. Step 3: Cross multiply
    83,178.38x = 180,369.56 × 180,369.56
  4. Step 4: Simplify right side
    83,178.38x = 32,533,179,076.44
  5. Step 5: Solve for x
    x = 32,533,179,076.44/83,178.38
  6. Step 6: Final answer
    x = 391,125.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.