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Finding the Third Proportional to 78,408 and 160,272

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Solution

The third proportional to 78,408 and 160,272 is: 327,608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,408 : 160,272 = 160,272 : x
  2. Step 2: Convert to fraction form
    78,408/160,272 = 160,272/x
  3. Step 3: Cross multiply
    78,408x = 160,272 × 160,272
  4. Step 4: Simplify right side
    78,408x = 25,687,113,984
  5. Step 5: Solve for x
    x = 25,687,113,984/78,408
  6. Step 6: Final answer
    x = 327,608.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.