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Finding the Third Proportional to 153,250 and 324,744

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Solution

The third proportional to 153,250 and 324,744 is: 688,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,250 : 324,744 = 324,744 : x
  2. Step 2: Convert to fraction form
    153,250/324,744 = 324,744/x
  3. Step 3: Cross multiply
    153,250x = 324,744 × 324,744
  4. Step 4: Simplify right side
    153,250x = 105,458,665,536
  5. Step 5: Solve for x
    x = 105,458,665,536/153,250
  6. Step 6: Final answer
    x = 688,147.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.