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Finding the Third Proportional to 99,486 and 216,468

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Solution

The third proportional to 99,486 and 216,468 is: 471,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,486 : 216,468 = 216,468 : x
  2. Step 2: Convert to fraction form
    99,486/216,468 = 216,468/x
  3. Step 3: Cross multiply
    99,486x = 216,468 × 216,468
  4. Step 4: Simplify right side
    99,486x = 46,858,395,024
  5. Step 5: Solve for x
    x = 46,858,395,024/99,486
  6. Step 6: Final answer
    x = 471,004.92

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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.