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Finding the Third Proportional to 99,409 and 212,214

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Solution

The third proportional to 99,409 and 212,214 is: 453,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,409 : 212,214 = 212,214 : x
  2. Step 2: Convert to fraction form
    99,409/212,214 = 212,214/x
  3. Step 3: Cross multiply
    99,409x = 212,214 × 212,214
  4. Step 4: Simplify right side
    99,409x = 45,034,781,796
  5. Step 5: Solve for x
    x = 45,034,781,796/99,409
  6. Step 6: Final answer
    x = 453,025.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.