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Finding the Third Proportional to 103,638 and 153,269

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Solution

The third proportional to 103,638 and 153,269 is: 226,667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,638 : 153,269 = 153,269 : x
  2. Step 2: Convert to fraction form
    103,638/153,269 = 153,269/x
  3. Step 3: Cross multiply
    103,638x = 153,269 × 153,269
  4. Step 4: Simplify right side
    103,638x = 23,491,386,361
  5. Step 5: Solve for x
    x = 23,491,386,361/103,638
  6. Step 6: Final answer
    x = 226,667.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.