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Finding the Third Proportional to 391,251 and 857,508

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Solution

The third proportional to 391,251 and 857,508 is: 1,879,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,251 : 857,508 = 857,508 : x
  2. Step 2: Convert to fraction form
    391,251/857,508 = 857,508/x
  3. Step 3: Cross multiply
    391,251x = 857,508 × 857,508
  4. Step 4: Simplify right side
    391,251x = 735,319,970,064
  5. Step 5: Solve for x
    x = 735,319,970,064/391,251
  6. Step 6: Final answer
    x = 1,879,407.26

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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.