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Finding the Third Proportional to 100,118 and 216,760

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Solution

The third proportional to 100,118 and 216,760 is: 469,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,118 : 216,760 = 216,760 : x
  2. Step 2: Convert to fraction form
    100,118/216,760 = 216,760/x
  3. Step 3: Cross multiply
    100,118x = 216,760 × 216,760
  4. Step 4: Simplify right side
    100,118x = 46,984,897,600
  5. Step 5: Solve for x
    x = 46,984,897,600/100,118
  6. Step 6: Final answer
    x = 469,295.21

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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.