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Finding the Third Proportional to 391,977 and 858,687

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Solution

The third proportional to 391,977 and 858,687 is: 1,881,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,977 : 858,687 = 858,687 : x
  2. Step 2: Convert to fraction form
    391,977/858,687 = 858,687/x
  3. Step 3: Cross multiply
    391,977x = 858,687 × 858,687
  4. Step 4: Simplify right side
    391,977x = 737,343,363,969
  5. Step 5: Solve for x
    x = 737,343,363,969/391,977
  6. Step 6: Final answer
    x = 1,881,088.34

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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.