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Finding the Third Proportional to 100,056 and 218,544

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Solution

The third proportional to 100,056 and 218,544 is: 477,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,056 : 218,544 = 218,544 : x
  2. Step 2: Convert to fraction form
    100,056/218,544 = 218,544/x
  3. Step 3: Cross multiply
    100,056x = 218,544 × 218,544
  4. Step 4: Simplify right side
    100,056x = 47,761,479,936
  5. Step 5: Solve for x
    x = 47,761,479,936/100,056
  6. Step 6: Final answer
    x = 477,347.48

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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.