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Finding the Third Proportional to 148,408 and 328,828

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Solution

The third proportional to 148,408 and 328,828 is: 728,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,408 : 328,828 = 328,828 : x
  2. Step 2: Convert to fraction form
    148,408/328,828 = 328,828/x
  3. Step 3: Cross multiply
    148,408x = 328,828 × 328,828
  4. Step 4: Simplify right side
    148,408x = 108,127,853,584
  5. Step 5: Solve for x
    x = 108,127,853,584/148,408
  6. Step 6: Final answer
    x = 728,585.07

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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.