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Finding the Third Proportional to 99,251 and 216,345

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Solution

The third proportional to 99,251 and 216,345 is: 471,583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,251 : 216,345 = 216,345 : x
  2. Step 2: Convert to fraction form
    99,251/216,345 = 216,345/x
  3. Step 3: Cross multiply
    99,251x = 216,345 × 216,345
  4. Step 4: Simplify right side
    99,251x = 46,805,159,025
  5. Step 5: Solve for x
    x = 46,805,159,025/99,251
  6. Step 6: Final answer
    x = 471,583.75

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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.