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Finding the Third Proportional to 393,482 and 844,312

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Solution

The third proportional to 393,482 and 844,312 is: 1,811,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,482 : 844,312 = 844,312 : x
  2. Step 2: Convert to fraction form
    393,482/844,312 = 844,312/x
  3. Step 3: Cross multiply
    393,482x = 844,312 × 844,312
  4. Step 4: Simplify right side
    393,482x = 712,862,753,344
  5. Step 5: Solve for x
    x = 712,862,753,344/393,482
  6. Step 6: Final answer
    x = 1,811,678.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.