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Finding the Third Proportional to 83,140.17 and 178,753.08

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Solution

The third proportional to 83,140.17 and 178,753.08 is: 384,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,140.17 : 178,753.08 = 178,753.08 : x
  2. Step 2: Convert to fraction form
    83,140.17/178,753.08 = 178,753.08/x
  3. Step 3: Cross multiply
    83,140.17x = 178,753.08 × 178,753.08
  4. Step 4: Simplify right side
    83,140.17x = 31,952,662,939.16
  5. Step 5: Solve for x
    x = 31,952,662,939.16/83,140.17
  6. Step 6: Final answer
    x = 384,322.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.