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Finding the Third Proportional to 99,264 and 216,378

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Solution

The third proportional to 99,264 and 216,378 is: 471,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,264 : 216,378 = 216,378 : x
  2. Step 2: Convert to fraction form
    99,264/216,378 = 216,378/x
  3. Step 3: Cross multiply
    99,264x = 216,378 × 216,378
  4. Step 4: Simplify right side
    99,264x = 46,819,438,884
  5. Step 5: Solve for x
    x = 46,819,438,884/99,264
  6. Step 6: Final answer
    x = 471,665.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.