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Finding the Third Proportional to 315,132 and 674,561

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Solution

The third proportional to 315,132 and 674,561 is: 1,443,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,132 : 674,561 = 674,561 : x
  2. Step 2: Convert to fraction form
    315,132/674,561 = 674,561/x
  3. Step 3: Cross multiply
    315,132x = 674,561 × 674,561
  4. Step 4: Simplify right side
    315,132x = 455,032,542,721
  5. Step 5: Solve for x
    x = 455,032,542,721/315,132
  6. Step 6: Final answer
    x = 1,443,942.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.