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Finding the Third Proportional to 2,402 and 4,327

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Solution

The third proportional to 2,402 and 4,327 is: 7,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402 : 4,327 = 4,327 : x
  2. Step 2: Convert to fraction form
    2,402/4,327 = 4,327/x
  3. Step 3: Cross multiply
    2,402x = 4,327 × 4,327
  4. Step 4: Simplify right side
    2,402x = 18,722,929
  5. Step 5: Solve for x
    x = 18,722,929/2,402
  6. Step 6: Final answer
    x = 7,794.72

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.