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Finding the Third Proportional to 100,197 and 218,862

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Solution

The third proportional to 100,197 and 218,862 is: 478,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,197 : 218,862 = 218,862 : x
  2. Step 2: Convert to fraction form
    100,197/218,862 = 218,862/x
  3. Step 3: Cross multiply
    100,197x = 218,862 × 218,862
  4. Step 4: Simplify right side
    100,197x = 47,900,575,044
  5. Step 5: Solve for x
    x = 47,900,575,044/100,197
  6. Step 6: Final answer
    x = 478,063.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.