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Finding the Third Proportional to 215,952 and 338,732

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Solution

The third proportional to 215,952 and 338,732 is: 531,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,952 : 338,732 = 338,732 : x
  2. Step 2: Convert to fraction form
    215,952/338,732 = 338,732/x
  3. Step 3: Cross multiply
    215,952x = 338,732 × 338,732
  4. Step 4: Simplify right side
    215,952x = 114,739,367,824
  5. Step 5: Solve for x
    x = 114,739,367,824/215,952
  6. Step 6: Final answer
    x = 531,318.85

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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.