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Finding the Third Proportional to 391,490 and 834,223

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Solution

The third proportional to 391,490 and 834,223 is: 1,777,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,490 : 834,223 = 834,223 : x
  2. Step 2: Convert to fraction form
    391,490/834,223 = 834,223/x
  3. Step 3: Cross multiply
    391,490x = 834,223 × 834,223
  4. Step 4: Simplify right side
    391,490x = 695,928,013,729
  5. Step 5: Solve for x
    x = 695,928,013,729/391,490
  6. Step 6: Final answer
    x = 1,777,639.31

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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.