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Finding the Third Proportional to 391,400 and 840,700

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Solution

The third proportional to 391,400 and 840,700 is: 1,805,765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,400 : 840,700 = 840,700 : x
  2. Step 2: Convert to fraction form
    391,400/840,700 = 840,700/x
  3. Step 3: Cross multiply
    391,400x = 840,700 × 840,700
  4. Step 4: Simplify right side
    391,400x = 706,776,490,000
  5. Step 5: Solve for x
    x = 706,776,490,000/391,400
  6. Step 6: Final answer
    x = 1,805,765.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.