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Finding the Third Proportional to 391,324 and 857,672

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Solution

The third proportional to 391,324 and 857,672 is: 1,879,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,324 : 857,672 = 857,672 : x
  2. Step 2: Convert to fraction form
    391,324/857,672 = 857,672/x
  3. Step 3: Cross multiply
    391,324x = 857,672 × 857,672
  4. Step 4: Simplify right side
    391,324x = 735,601,259,584
  5. Step 5: Solve for x
    x = 735,601,259,584/391,324
  6. Step 6: Final answer
    x = 1,879,775.48

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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.