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Finding the Third Proportional to 342,778 and 738,176

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Solution

The third proportional to 342,778 and 738,176 is: 1,589,669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,778 : 738,176 = 738,176 : x
  2. Step 2: Convert to fraction form
    342,778/738,176 = 738,176/x
  3. Step 3: Cross multiply
    342,778x = 738,176 × 738,176
  4. Step 4: Simplify right side
    342,778x = 544,903,806,976
  5. Step 5: Solve for x
    x = 544,903,806,976/342,778
  6. Step 6: Final answer
    x = 1,589,669.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.