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Finding the Third Proportional to 499,472 and 811,491

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Solution

The third proportional to 499,472 and 811,491 is: 1,318,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,472 : 811,491 = 811,491 : x
  2. Step 2: Convert to fraction form
    499,472/811,491 = 811,491/x
  3. Step 3: Cross multiply
    499,472x = 811,491 × 811,491
  4. Step 4: Simplify right side
    499,472x = 658,517,643,081
  5. Step 5: Solve for x
    x = 658,517,643,081/499,472
  6. Step 6: Final answer
    x = 1,318,427.55

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.