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Finding the Third Proportional to 4,282 and 9,305

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Solution

The third proportional to 4,282 and 9,305 is: 20,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282 : 9,305 = 9,305 : x
  2. Step 2: Convert to fraction form
    4,282/9,305 = 9,305/x
  3. Step 3: Cross multiply
    4,282x = 9,305 × 9,305
  4. Step 4: Simplify right side
    4,282x = 86,583,025
  5. Step 5: Solve for x
    x = 86,583,025/4,282
  6. Step 6: Final answer
    x = 20,220.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.