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Finding the Third Proportional to 101,128 and 217,760

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Solution

The third proportional to 101,128 and 217,760 is: 468,904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,128 : 217,760 = 217,760 : x
  2. Step 2: Convert to fraction form
    101,128/217,760 = 217,760/x
  3. Step 3: Cross multiply
    101,128x = 217,760 × 217,760
  4. Step 4: Simplify right side
    101,128x = 47,419,417,600
  5. Step 5: Solve for x
    x = 47,419,417,600/101,128
  6. Step 6: Final answer
    x = 468,904.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.