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Finding the Third Proportional to 78,408 and 171,828

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Solution

The third proportional to 78,408 and 171,828 is: 376,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,408 : 171,828 = 171,828 : x
  2. Step 2: Convert to fraction form
    78,408/171,828 = 171,828/x
  3. Step 3: Cross multiply
    78,408x = 171,828 × 171,828
  4. Step 4: Simplify right side
    78,408x = 29,524,861,584
  5. Step 5: Solve for x
    x = 29,524,861,584/78,408
  6. Step 6: Final answer
    x = 376,554.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.