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Finding the Third Proportional to 399,778 and 858,842

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Solution

The third proportional to 399,778 and 858,842 is: 1,845,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,778 : 858,842 = 858,842 : x
  2. Step 2: Convert to fraction form
    399,778/858,842 = 858,842/x
  3. Step 3: Cross multiply
    399,778x = 858,842 × 858,842
  4. Step 4: Simplify right side
    399,778x = 737,609,580,964
  5. Step 5: Solve for x
    x = 737,609,580,964/399,778
  6. Step 6: Final answer
    x = 1,845,047.95

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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.