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Finding the Third Proportional to 391,968 and 858,671

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Solution

The third proportional to 391,968 and 858,671 is: 1,881,061.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,968 : 858,671 = 858,671 : x
  2. Step 2: Convert to fraction form
    391,968/858,671 = 858,671/x
  3. Step 3: Cross multiply
    391,968x = 858,671 × 858,671
  4. Step 4: Simplify right side
    391,968x = 737,315,886,241
  5. Step 5: Solve for x
    x = 737,315,886,241/391,968
  6. Step 6: Final answer
    x = 1,881,061.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.