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Finding the Third Proportional to 342,728 and 743,776

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Solution

The third proportional to 342,728 and 743,776 is: 1,614,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,728 : 743,776 = 743,776 : x
  2. Step 2: Convert to fraction form
    342,728/743,776 = 743,776/x
  3. Step 3: Cross multiply
    342,728x = 743,776 × 743,776
  4. Step 4: Simplify right side
    342,728x = 553,202,738,176
  5. Step 5: Solve for x
    x = 553,202,738,176/342,728
  6. Step 6: Final answer
    x = 1,614,115.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.