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Finding the Third Proportional to 391,983 and 858,696

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Solution

The third proportional to 391,983 and 858,696 is: 1,881,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,983 : 858,696 = 858,696 : x
  2. Step 2: Convert to fraction form
    391,983/858,696 = 858,696/x
  3. Step 3: Cross multiply
    391,983x = 858,696 × 858,696
  4. Step 4: Simplify right side
    391,983x = 737,358,820,416
  5. Step 5: Solve for x
    x = 737,358,820,416/391,983
  6. Step 6: Final answer
    x = 1,881,098.98

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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.