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Finding the Third Proportional to 391,720 and 857,246

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Solution

The third proportional to 391,720 and 857,246 is: 1,876,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,720 : 857,246 = 857,246 : x
  2. Step 2: Convert to fraction form
    391,720/857,246 = 857,246/x
  3. Step 3: Cross multiply
    391,720x = 857,246 × 857,246
  4. Step 4: Simplify right side
    391,720x = 734,870,704,516
  5. Step 5: Solve for x
    x = 734,870,704,516/391,720
  6. Step 6: Final answer
    x = 1,876,010.17

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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.