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Finding the Third Proportional to 391,382 and 849,680

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Solution

The third proportional to 391,382 and 849,680 is: 1,844,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,382 : 849,680 = 849,680 : x
  2. Step 2: Convert to fraction form
    391,382/849,680 = 849,680/x
  3. Step 3: Cross multiply
    391,382x = 849,680 × 849,680
  4. Step 4: Simplify right side
    391,382x = 721,956,102,400
  5. Step 5: Solve for x
    x = 721,956,102,400/391,382
  6. Step 6: Final answer
    x = 1,844,632.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.