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Finding the Third Proportional to 391,980 and 586,890

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Solution

The third proportional to 391,980 and 586,890 is: 878,717.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,980 : 586,890 = 586,890 : x
  2. Step 2: Convert to fraction form
    391,980/586,890 = 586,890/x
  3. Step 3: Cross multiply
    391,980x = 586,890 × 586,890
  4. Step 4: Simplify right side
    391,980x = 344,439,872,100
  5. Step 5: Solve for x
    x = 344,439,872,100/391,980
  6. Step 6: Final answer
    x = 878,717.98

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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.