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Finding the Third Proportional to 101,374 and 215,864

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Solution

The third proportional to 101,374 and 215,864 is: 459,656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,374 : 215,864 = 215,864 : x
  2. Step 2: Convert to fraction form
    101,374/215,864 = 215,864/x
  3. Step 3: Cross multiply
    101,374x = 215,864 × 215,864
  4. Step 4: Simplify right side
    101,374x = 46,597,266,496
  5. Step 5: Solve for x
    x = 46,597,266,496/101,374
  6. Step 6: Final answer
    x = 459,656.98

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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.