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Finding the Third Proportional to 99,272 and 216,036

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Solution

The third proportional to 99,272 and 216,036 is: 470,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,272 : 216,036 = 216,036 : x
  2. Step 2: Convert to fraction form
    99,272/216,036 = 216,036/x
  3. Step 3: Cross multiply
    99,272x = 216,036 × 216,036
  4. Step 4: Simplify right side
    99,272x = 46,671,553,296
  5. Step 5: Solve for x
    x = 46,671,553,296/99,272
  6. Step 6: Final answer
    x = 470,138.14

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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.