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Finding the Third Proportional to 99,488 and 204,810

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Solution

The third proportional to 99,488 and 204,810 is: 421,630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,488 : 204,810 = 204,810 : x
  2. Step 2: Convert to fraction form
    99,488/204,810 = 204,810/x
  3. Step 3: Cross multiply
    99,488x = 204,810 × 204,810
  4. Step 4: Simplify right side
    99,488x = 41,947,136,100
  5. Step 5: Solve for x
    x = 41,947,136,100/99,488
  6. Step 6: Final answer
    x = 421,630.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.