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Finding the Third Proportional to 454,112 and 687,456

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Solution

The third proportional to 454,112 and 687,456 is: 1,040,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,112 : 687,456 = 687,456 : x
  2. Step 2: Convert to fraction form
    454,112/687,456 = 687,456/x
  3. Step 3: Cross multiply
    454,112x = 687,456 × 687,456
  4. Step 4: Simplify right side
    454,112x = 472,595,751,936
  5. Step 5: Solve for x
    x = 472,595,751,936/454,112
  6. Step 6: Final answer
    x = 1,040,703.07

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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.