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Finding the Third Proportional to 99,880 and 216,392

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Solution

The third proportional to 99,880 and 216,392 is: 468,817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,880 : 216,392 = 216,392 : x
  2. Step 2: Convert to fraction form
    99,880/216,392 = 216,392/x
  3. Step 3: Cross multiply
    99,880x = 216,392 × 216,392
  4. Step 4: Simplify right side
    99,880x = 46,825,497,664
  5. Step 5: Solve for x
    x = 46,825,497,664/99,880
  6. Step 6: Final answer
    x = 468,817.56

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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.