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Finding the Third Proportional to 100,630 and 218,732

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Solution

The third proportional to 100,630 and 218,732 is: 475,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,630 : 218,732 = 218,732 : x
  2. Step 2: Convert to fraction form
    100,630/218,732 = 218,732/x
  3. Step 3: Cross multiply
    100,630x = 218,732 × 218,732
  4. Step 4: Simplify right side
    100,630x = 47,843,687,824
  5. Step 5: Solve for x
    x = 47,843,687,824/100,630
  6. Step 6: Final answer
    x = 475,441.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.