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Finding the Third Proportional to 4,215 and 9,402

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Solution

The third proportional to 4,215 and 9,402 is: 20,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215 : 9,402 = 9,402 : x
  2. Step 2: Convert to fraction form
    4,215/9,402 = 9,402/x
  3. Step 3: Cross multiply
    4,215x = 9,402 × 9,402
  4. Step 4: Simplify right side
    4,215x = 88,397,604
  5. Step 5: Solve for x
    x = 88,397,604/4,215
  6. Step 6: Final answer
    x = 20,972.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.