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Finding the Third Proportional to 148,272 and 308,832

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Solution

The third proportional to 148,272 and 308,832 is: 643,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,272 : 308,832 = 308,832 : x
  2. Step 2: Convert to fraction form
    148,272/308,832 = 308,832/x
  3. Step 3: Cross multiply
    148,272x = 308,832 × 308,832
  4. Step 4: Simplify right side
    148,272x = 95,377,204,224
  5. Step 5: Solve for x
    x = 95,377,204,224/148,272
  6. Step 6: Final answer
    x = 643,258.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.