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Finding the Third Proportional to 215,464 and 288,042

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Solution

The third proportional to 215,464 and 288,042 is: 385,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,464 : 288,042 = 288,042 : x
  2. Step 2: Convert to fraction form
    215,464/288,042 = 288,042/x
  3. Step 3: Cross multiply
    215,464x = 288,042 × 288,042
  4. Step 4: Simplify right side
    215,464x = 82,968,193,764
  5. Step 5: Solve for x
    x = 82,968,193,764/215,464
  6. Step 6: Final answer
    x = 385,067.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.