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Finding the Third Proportional to 391,645 and 857,918

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Solution

The third proportional to 391,645 and 857,918 is: 1,879,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,645 : 857,918 = 857,918 : x
  2. Step 2: Convert to fraction form
    391,645/857,918 = 857,918/x
  3. Step 3: Cross multiply
    391,645x = 857,918 × 857,918
  4. Step 4: Simplify right side
    391,645x = 736,023,294,724
  5. Step 5: Solve for x
    x = 736,023,294,724/391,645
  6. Step 6: Final answer
    x = 1,879,312.37

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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.