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Finding the Third Proportional to 99,392 and 215,612

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Solution

The third proportional to 99,392 and 215,612 is: 467,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,392 : 215,612 = 215,612 : x
  2. Step 2: Convert to fraction form
    99,392/215,612 = 215,612/x
  3. Step 3: Cross multiply
    99,392x = 215,612 × 215,612
  4. Step 4: Simplify right side
    99,392x = 46,488,534,544
  5. Step 5: Solve for x
    x = 46,488,534,544/99,392
  6. Step 6: Final answer
    x = 467,729.14

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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.