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Finding the Third Proportional to 148,320 and 220,806

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Solution

The third proportional to 148,320 and 220,806 is: 328,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,320 : 220,806 = 220,806 : x
  2. Step 2: Convert to fraction form
    148,320/220,806 = 220,806/x
  3. Step 3: Cross multiply
    148,320x = 220,806 × 220,806
  4. Step 4: Simplify right side
    148,320x = 48,755,289,636
  5. Step 5: Solve for x
    x = 48,755,289,636/148,320
  6. Step 6: Final answer
    x = 328,716.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.