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Finding the Third Proportional to 148,508 and 319,996

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Solution

The third proportional to 148,508 and 319,996 is: 689,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,508 : 319,996 = 319,996 : x
  2. Step 2: Convert to fraction form
    148,508/319,996 = 319,996/x
  3. Step 3: Cross multiply
    148,508x = 319,996 × 319,996
  4. Step 4: Simplify right side
    148,508x = 102,397,440,016
  5. Step 5: Solve for x
    x = 102,397,440,016/148,508
  6. Step 6: Final answer
    x = 689,507.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.