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Finding the Third Proportional to 148,019 and 319,716

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Solution

The third proportional to 148,019 and 319,716 is: 690,575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,019 : 319,716 = 319,716 : x
  2. Step 2: Convert to fraction form
    148,019/319,716 = 319,716/x
  3. Step 3: Cross multiply
    148,019x = 319,716 × 319,716
  4. Step 4: Simplify right side
    148,019x = 102,218,320,656
  5. Step 5: Solve for x
    x = 102,218,320,656/148,019
  6. Step 6: Final answer
    x = 690,575.67

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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.