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Finding the Third Proportional to 148,314 and 319,958

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Solution

The third proportional to 148,314 and 319,958 is: 690,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,314 : 319,958 = 319,958 : x
  2. Step 2: Convert to fraction form
    148,314/319,958 = 319,958/x
  3. Step 3: Cross multiply
    148,314x = 319,958 × 319,958
  4. Step 4: Simplify right side
    148,314x = 102,373,121,764
  5. Step 5: Solve for x
    x = 102,373,121,764/148,314
  6. Step 6: Final answer
    x = 690,245.84

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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.