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Finding the Third Proportional to 99,464 and 216,418

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Solution

The third proportional to 99,464 and 216,418 is: 470,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,464 : 216,418 = 216,418 : x
  2. Step 2: Convert to fraction form
    99,464/216,418 = 216,418/x
  3. Step 3: Cross multiply
    99,464x = 216,418 × 216,418
  4. Step 4: Simplify right side
    99,464x = 46,836,750,724
  5. Step 5: Solve for x
    x = 46,836,750,724/99,464
  6. Step 6: Final answer
    x = 470,891.49

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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.