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Finding the Third Proportional to 100,472 and 218,924

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Solution

The third proportional to 100,472 and 218,924 is: 477,025.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,472 : 218,924 = 218,924 : x
  2. Step 2: Convert to fraction form
    100,472/218,924 = 218,924/x
  3. Step 3: Cross multiply
    100,472x = 218,924 × 218,924
  4. Step 4: Simplify right side
    100,472x = 47,927,717,776
  5. Step 5: Solve for x
    x = 47,927,717,776/100,472
  6. Step 6: Final answer
    x = 477,025.62

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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.