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Finding the Third Proportional to 215,856 and 337,908

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Solution

The third proportional to 215,856 and 337,908 is: 528,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,856 : 337,908 = 337,908 : x
  2. Step 2: Convert to fraction form
    215,856/337,908 = 337,908/x
  3. Step 3: Cross multiply
    215,856x = 337,908 × 337,908
  4. Step 4: Simplify right side
    215,856x = 114,181,816,464
  5. Step 5: Solve for x
    x = 114,181,816,464/215,856
  6. Step 6: Final answer
    x = 528,972.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.