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Finding the Third Proportional to 101,124 and 219,897

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Solution

The third proportional to 101,124 and 219,897 is: 478,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,124 : 219,897 = 219,897 : x
  2. Step 2: Convert to fraction form
    101,124/219,897 = 219,897/x
  3. Step 3: Cross multiply
    101,124x = 219,897 × 219,897
  4. Step 4: Simplify right side
    101,124x = 48,354,690,609
  5. Step 5: Solve for x
    x = 48,354,690,609/101,124
  6. Step 6: Final answer
    x = 478,172.25

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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.