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Finding the Third Proportional to 101,378 and 215,872

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Solution

The third proportional to 101,378 and 215,872 is: 459,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,378 : 215,872 = 215,872 : x
  2. Step 2: Convert to fraction form
    101,378/215,872 = 215,872/x
  3. Step 3: Cross multiply
    101,378x = 215,872 × 215,872
  4. Step 4: Simplify right side
    101,378x = 46,600,720,384
  5. Step 5: Solve for x
    x = 46,600,720,384/101,378
  6. Step 6: Final answer
    x = 459,672.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.