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Finding the Third Proportional to 99,472 and 213,668

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Solution

The third proportional to 99,472 and 213,668 is: 458,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,472 : 213,668 = 213,668 : x
  2. Step 2: Convert to fraction form
    99,472/213,668 = 213,668/x
  3. Step 3: Cross multiply
    99,472x = 213,668 × 213,668
  4. Step 4: Simplify right side
    99,472x = 45,654,014,224
  5. Step 5: Solve for x
    x = 45,654,014,224/99,472
  6. Step 6: Final answer
    x = 458,963.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.