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Finding the Third Proportional to 178,653 and 392,302

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Solution

The third proportional to 178,653 and 392,302 is: 861,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,653 : 392,302 = 392,302 : x
  2. Step 2: Convert to fraction form
    178,653/392,302 = 392,302/x
  3. Step 3: Cross multiply
    178,653x = 392,302 × 392,302
  4. Step 4: Simplify right side
    178,653x = 153,900,859,204
  5. Step 5: Solve for x
    x = 153,900,859,204/178,653
  6. Step 6: Final answer
    x = 861,451.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.