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Finding the Third Proportional to 148,005 and 319,662

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Solution

The third proportional to 148,005 and 319,662 is: 690,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,005 : 319,662 = 319,662 : x
  2. Step 2: Convert to fraction form
    148,005/319,662 = 319,662/x
  3. Step 3: Cross multiply
    148,005x = 319,662 × 319,662
  4. Step 4: Simplify right side
    148,005x = 102,183,794,244
  5. Step 5: Solve for x
    x = 102,183,794,244/148,005
  6. Step 6: Final answer
    x = 690,407.72

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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.