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Finding the Third Proportional to 239,581 and 359,378

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Solution

The third proportional to 239,581 and 359,378 is: 539,076.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,581 : 359,378 = 359,378 : x
  2. Step 2: Convert to fraction form
    239,581/359,378 = 359,378/x
  3. Step 3: Cross multiply
    239,581x = 359,378 × 359,378
  4. Step 4: Simplify right side
    239,581x = 129,152,546,884
  5. Step 5: Solve for x
    x = 129,152,546,884/239,581
  6. Step 6: Final answer
    x = 539,076.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.