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Finding the Third Proportional to 518,402 and 800,571

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Solution

The third proportional to 518,402 and 800,571 is: 1,236,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,402 : 800,571 = 800,571 : x
  2. Step 2: Convert to fraction form
    518,402/800,571 = 800,571/x
  3. Step 3: Cross multiply
    518,402x = 800,571 × 800,571
  4. Step 4: Simplify right side
    518,402x = 640,913,926,041
  5. Step 5: Solve for x
    x = 640,913,926,041/518,402
  6. Step 6: Final answer
    x = 1,236,326.11

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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.