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Finding the Third Proportional to 148,320 and 328,675

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Solution

The third proportional to 148,320 and 328,675 is: 728,339.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,320 : 328,675 = 328,675 : x
  2. Step 2: Convert to fraction form
    148,320/328,675 = 328,675/x
  3. Step 3: Cross multiply
    148,320x = 328,675 × 328,675
  4. Step 4: Simplify right side
    148,320x = 108,027,255,625
  5. Step 5: Solve for x
    x = 108,027,255,625/148,320
  6. Step 6: Final answer
    x = 728,339.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.