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Finding the Third Proportional to 518,805 and 801,225

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Solution

The third proportional to 518,805 and 801,225 is: 1,237,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,805 : 801,225 = 801,225 : x
  2. Step 2: Convert to fraction form
    518,805/801,225 = 801,225/x
  3. Step 3: Cross multiply
    518,805x = 801,225 × 801,225
  4. Step 4: Simplify right side
    518,805x = 641,961,500,625
  5. Step 5: Solve for x
    x = 641,961,500,625/518,805
  6. Step 6: Final answer
    x = 1,237,384.95

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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.