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Finding the Third Proportional to 153,101 and 217,744

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Solution

The third proportional to 153,101 and 217,744 is: 309,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,101 : 217,744 = 217,744 : x
  2. Step 2: Convert to fraction form
    153,101/217,744 = 217,744/x
  3. Step 3: Cross multiply
    153,101x = 217,744 × 217,744
  4. Step 4: Simplify right side
    153,101x = 47,412,449,536
  5. Step 5: Solve for x
    x = 47,412,449,536/153,101
  6. Step 6: Final answer
    x = 309,680.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.