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Finding the Third Proportional to 148,563 and 320,226

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Solution

The third proportional to 148,563 and 320,226 is: 690,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,563 : 320,226 = 320,226 : x
  2. Step 2: Convert to fraction form
    148,563/320,226 = 320,226/x
  3. Step 3: Cross multiply
    148,563x = 320,226 × 320,226
  4. Step 4: Simplify right side
    148,563x = 102,544,691,076
  5. Step 5: Solve for x
    x = 102,544,691,076/148,563
  6. Step 6: Final answer
    x = 690,243.81

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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.