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Finding the Third Proportional to 391,266 and 857,538

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Solution

The third proportional to 391,266 and 857,538 is: 1,879,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,266 : 857,538 = 857,538 : x
  2. Step 2: Convert to fraction form
    391,266/857,538 = 857,538/x
  3. Step 3: Cross multiply
    391,266x = 857,538 × 857,538
  4. Step 4: Simplify right side
    391,266x = 735,371,421,444
  5. Step 5: Solve for x
    x = 735,371,421,444/391,266
  6. Step 6: Final answer
    x = 1,879,466.71

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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.