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Finding the Third Proportional to 148,959 and 313,227

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Solution

The third proportional to 148,959 and 313,227 is: 658,645.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,959 : 313,227 = 313,227 : x
  2. Step 2: Convert to fraction form
    148,959/313,227 = 313,227/x
  3. Step 3: Cross multiply
    148,959x = 313,227 × 313,227
  4. Step 4: Simplify right side
    148,959x = 98,111,153,529
  5. Step 5: Solve for x
    x = 98,111,153,529/148,959
  6. Step 6: Final answer
    x = 658,645.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.