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Finding the Third Proportional to 387,180 and 580,932

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Solution

The third proportional to 387,180 and 580,932 is: 871,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,180 : 580,932 = 580,932 : x
  2. Step 2: Convert to fraction form
    387,180/580,932 = 580,932/x
  3. Step 3: Cross multiply
    387,180x = 580,932 × 580,932
  4. Step 4: Simplify right side
    387,180x = 337,481,988,624
  5. Step 5: Solve for x
    x = 337,481,988,624/387,180
  6. Step 6: Final answer
    x = 871,641.07

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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.