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Finding the Third Proportional to 100,488 and 219,810

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Solution

The third proportional to 100,488 and 219,810 is: 480,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,488 : 219,810 = 219,810 : x
  2. Step 2: Convert to fraction form
    100,488/219,810 = 219,810/x
  3. Step 3: Cross multiply
    100,488x = 219,810 × 219,810
  4. Step 4: Simplify right side
    100,488x = 48,316,436,100
  5. Step 5: Solve for x
    x = 48,316,436,100/100,488
  6. Step 6: Final answer
    x = 480,817.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.