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Finding the Third Proportional to 99,990 and 217,392

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Solution

The third proportional to 99,990 and 217,392 is: 472,640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,990 : 217,392 = 217,392 : x
  2. Step 2: Convert to fraction form
    99,990/217,392 = 217,392/x
  3. Step 3: Cross multiply
    99,990x = 217,392 × 217,392
  4. Step 4: Simplify right side
    99,990x = 47,259,281,664
  5. Step 5: Solve for x
    x = 47,259,281,664/99,990
  6. Step 6: Final answer
    x = 472,640.08

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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.