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Finding the Third Proportional to 140,676 and 305,382

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Solution

The third proportional to 140,676 and 305,382 is: 662,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,676 : 305,382 = 305,382 : x
  2. Step 2: Convert to fraction form
    140,676/305,382 = 305,382/x
  3. Step 3: Cross multiply
    140,676x = 305,382 × 305,382
  4. Step 4: Simplify right side
    140,676x = 93,258,165,924
  5. Step 5: Solve for x
    x = 93,258,165,924/140,676
  6. Step 6: Final answer
    x = 662,928.76

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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.