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Finding the Third Proportional to 99,849 and 216,312

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Solution

The third proportional to 99,849 and 216,312 is: 468,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,849 : 216,312 = 216,312 : x
  2. Step 2: Convert to fraction form
    99,849/216,312 = 216,312/x
  3. Step 3: Cross multiply
    99,849x = 216,312 × 216,312
  4. Step 4: Simplify right side
    99,849x = 46,790,881,344
  5. Step 5: Solve for x
    x = 46,790,881,344/99,849
  6. Step 6: Final answer
    x = 468,616.42

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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.