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Finding the Third Proportional to 518,466 and 799,811

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Solution

The third proportional to 518,466 and 799,811 is: 1,233,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,466 : 799,811 = 799,811 : x
  2. Step 2: Convert to fraction form
    518,466/799,811 = 799,811/x
  3. Step 3: Cross multiply
    518,466x = 799,811 × 799,811
  4. Step 4: Simplify right side
    518,466x = 639,697,635,721
  5. Step 5: Solve for x
    x = 639,697,635,721/518,466
  6. Step 6: Final answer
    x = 1,233,827.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.