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Finding the Third Proportional to 215,460 and 288,036

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Solution

The third proportional to 215,460 and 288,036 is: 385,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,460 : 288,036 = 288,036 : x
  2. Step 2: Convert to fraction form
    215,460/288,036 = 288,036/x
  3. Step 3: Cross multiply
    215,460x = 288,036 × 288,036
  4. Step 4: Simplify right side
    215,460x = 82,964,737,296
  5. Step 5: Solve for x
    x = 82,964,737,296/215,460
  6. Step 6: Final answer
    x = 385,058.65

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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.