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Finding the Third Proportional to 391,262 and 813,136

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Solution

The third proportional to 391,262 and 813,136 is: 1,689,891.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,262 : 813,136 = 813,136 : x
  2. Step 2: Convert to fraction form
    391,262/813,136 = 813,136/x
  3. Step 3: Cross multiply
    391,262x = 813,136 × 813,136
  4. Step 4: Simplify right side
    391,262x = 661,190,154,496
  5. Step 5: Solve for x
    x = 661,190,154,496/391,262
  6. Step 6: Final answer
    x = 1,689,891.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.