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Finding the Third Proportional to 148,015 and 319,708

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Solution

The third proportional to 148,015 and 319,708 is: 690,559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,015 : 319,708 = 319,708 : x
  2. Step 2: Convert to fraction form
    148,015/319,708 = 319,708/x
  3. Step 3: Cross multiply
    148,015x = 319,708 × 319,708
  4. Step 4: Simplify right side
    148,015x = 102,213,205,264
  5. Step 5: Solve for x
    x = 102,213,205,264/148,015
  6. Step 6: Final answer
    x = 690,559.78

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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.