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Finding the Third Proportional to 391,267 and 857,540

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Solution

The third proportional to 391,267 and 857,540 is: 1,879,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,267 : 857,540 = 857,540 : x
  2. Step 2: Convert to fraction form
    391,267/857,540 = 857,540/x
  3. Step 3: Cross multiply
    391,267x = 857,540 × 857,540
  4. Step 4: Simplify right side
    391,267x = 735,374,851,600
  5. Step 5: Solve for x
    x = 735,374,851,600/391,267
  6. Step 6: Final answer
    x = 1,879,470.67

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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.