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Finding the Third Proportional to 99,354 and 215,283

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Solution

The third proportional to 99,354 and 215,283 is: 466,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,354 : 215,283 = 215,283 : x
  2. Step 2: Convert to fraction form
    99,354/215,283 = 215,283/x
  3. Step 3: Cross multiply
    99,354x = 215,283 × 215,283
  4. Step 4: Simplify right side
    99,354x = 46,346,770,089
  5. Step 5: Solve for x
    x = 46,346,770,089/99,354
  6. Step 6: Final answer
    x = 466,481.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.