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Finding the Third Proportional to 391,230 and 857,466

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Solution

The third proportional to 391,230 and 857,466 is: 1,879,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,230 : 857,466 = 857,466 : x
  2. Step 2: Convert to fraction form
    391,230/857,466 = 857,466/x
  3. Step 3: Cross multiply
    391,230x = 857,466 × 857,466
  4. Step 4: Simplify right side
    391,230x = 735,247,941,156
  5. Step 5: Solve for x
    x = 735,247,941,156/391,230
  6. Step 6: Final answer
    x = 1,879,324.03

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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.