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Finding the Third Proportional to 454,176 and 687,576

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Solution

The third proportional to 454,176 and 687,576 is: 1,040,919.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,176 : 687,576 = 687,576 : x
  2. Step 2: Convert to fraction form
    454,176/687,576 = 687,576/x
  3. Step 3: Cross multiply
    454,176x = 687,576 × 687,576
  4. Step 4: Simplify right side
    454,176x = 472,760,755,776
  5. Step 5: Solve for x
    x = 472,760,755,776/454,176
  6. Step 6: Final answer
    x = 1,040,919.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.