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Finding the Third Proportional to 391,970 and 858,674

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Solution

The third proportional to 391,970 and 858,674 is: 1,881,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,970 : 858,674 = 858,674 : x
  2. Step 2: Convert to fraction form
    391,970/858,674 = 858,674/x
  3. Step 3: Cross multiply
    391,970x = 858,674 × 858,674
  4. Step 4: Simplify right side
    391,970x = 737,321,038,276
  5. Step 5: Solve for x
    x = 737,321,038,276/391,970
  6. Step 6: Final answer
    x = 1,881,064.98

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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.