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Finding the Third Proportional to 319,676 and 738,135

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Solution

The third proportional to 319,676 and 738,135 is: 1,704,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,676 : 738,135 = 738,135 : x
  2. Step 2: Convert to fraction form
    319,676/738,135 = 738,135/x
  3. Step 3: Cross multiply
    319,676x = 738,135 × 738,135
  4. Step 4: Simplify right side
    319,676x = 544,843,278,225
  5. Step 5: Solve for x
    x = 544,843,278,225/319,676
  6. Step 6: Final answer
    x = 1,704,360.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.