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Finding the Third Proportional to 148,608 and 320,544

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Solution

The third proportional to 148,608 and 320,544 is: 691,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,608 : 320,544 = 320,544 : x
  2. Step 2: Convert to fraction form
    148,608/320,544 = 320,544/x
  3. Step 3: Cross multiply
    148,608x = 320,544 × 320,544
  4. Step 4: Simplify right side
    148,608x = 102,748,455,936
  5. Step 5: Solve for x
    x = 102,748,455,936/148,608
  6. Step 6: Final answer
    x = 691,405.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.