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Finding the Third Proportional to 4,853 and 10,479

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Solution

The third proportional to 4,853 and 10,479 is: 22,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853 : 10,479 = 10,479 : x
  2. Step 2: Convert to fraction form
    4,853/10,479 = 10,479/x
  3. Step 3: Cross multiply
    4,853x = 10,479 × 10,479
  4. Step 4: Simplify right side
    4,853x = 109,809,441
  5. Step 5: Solve for x
    x = 109,809,441/4,853
  6. Step 6: Final answer
    x = 22,627.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.