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Finding the Third Proportional to 99,417 and 213,663

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Solution

The third proportional to 99,417 and 213,663 is: 459,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,417 : 213,663 = 213,663 : x
  2. Step 2: Convert to fraction form
    99,417/213,663 = 213,663/x
  3. Step 3: Cross multiply
    99,417x = 213,663 × 213,663
  4. Step 4: Simplify right side
    99,417x = 45,651,877,569
  5. Step 5: Solve for x
    x = 45,651,877,569/99,417
  6. Step 6: Final answer
    x = 459,195.89

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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.