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Finding the Third Proportional to 99,072 and 216,252

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Solution

The third proportional to 99,072 and 216,252 is: 472,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,072 : 216,252 = 216,252 : x
  2. Step 2: Convert to fraction form
    99,072/216,252 = 216,252/x
  3. Step 3: Cross multiply
    99,072x = 216,252 × 216,252
  4. Step 4: Simplify right side
    99,072x = 46,764,927,504
  5. Step 5: Solve for x
    x = 46,764,927,504/99,072
  6. Step 6: Final answer
    x = 472,029.71

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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.