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Finding the Third Proportional to 221,112 and 519,775

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Solution

The third proportional to 221,112 and 519,775 is: 1,221,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,112 : 519,775 = 519,775 : x
  2. Step 2: Convert to fraction form
    221,112/519,775 = 519,775/x
  3. Step 3: Cross multiply
    221,112x = 519,775 × 519,775
  4. Step 4: Simplify right side
    221,112x = 270,166,050,625
  5. Step 5: Solve for x
    x = 270,166,050,625/221,112
  6. Step 6: Final answer
    x = 1,221,851.60

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.