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Finding the Third Proportional to 391,470 and 834,213

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Solution

The third proportional to 391,470 and 834,213 is: 1,777,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,470 : 834,213 = 834,213 : x
  2. Step 2: Convert to fraction form
    391,470/834,213 = 834,213/x
  3. Step 3: Cross multiply
    391,470x = 834,213 × 834,213
  4. Step 4: Simplify right side
    391,470x = 695,911,329,369
  5. Step 5: Solve for x
    x = 695,911,329,369/391,470
  6. Step 6: Final answer
    x = 1,777,687.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.