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Finding the Third Proportional to 101,098 and 218,918

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Solution

The third proportional to 101,098 and 218,918 is: 474,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,098 : 218,918 = 218,918 : x
  2. Step 2: Convert to fraction form
    101,098/218,918 = 218,918/x
  3. Step 3: Cross multiply
    101,098x = 218,918 × 218,918
  4. Step 4: Simplify right side
    101,098x = 47,925,090,724
  5. Step 5: Solve for x
    x = 47,925,090,724/101,098
  6. Step 6: Final answer
    x = 474,045.88

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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.