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Finding the Third Proportional to 99,930 and 216,168

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Solution

The third proportional to 99,930 and 216,168 is: 467,613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,930 : 216,168 = 216,168 : x
  2. Step 2: Convert to fraction form
    99,930/216,168 = 216,168/x
  3. Step 3: Cross multiply
    99,930x = 216,168 × 216,168
  4. Step 4: Simplify right side
    99,930x = 46,728,604,224
  5. Step 5: Solve for x
    x = 46,728,604,224/99,930
  6. Step 6: Final answer
    x = 467,613.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.