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Finding the Third Proportional to 100,444 and 218,897

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Solution

The third proportional to 100,444 and 218,897 is: 477,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,444 : 218,897 = 218,897 : x
  2. Step 2: Convert to fraction form
    100,444/218,897 = 218,897/x
  3. Step 3: Cross multiply
    100,444x = 218,897 × 218,897
  4. Step 4: Simplify right side
    100,444x = 47,915,896,609
  5. Step 5: Solve for x
    x = 47,915,896,609/100,444
  6. Step 6: Final answer
    x = 477,040.90

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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.