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Finding the Third Proportional to 238,778 and 324,478

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Solution

The third proportional to 238,778 and 324,478 is: 440,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,778 : 324,478 = 324,478 : x
  2. Step 2: Convert to fraction form
    238,778/324,478 = 324,478/x
  3. Step 3: Cross multiply
    238,778x = 324,478 × 324,478
  4. Step 4: Simplify right side
    238,778x = 105,285,972,484
  5. Step 5: Solve for x
    x = 105,285,972,484/238,778
  6. Step 6: Final answer
    x = 440,936.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.