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Finding the Third Proportional to 454,124 and 687,476

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Solution

The third proportional to 454,124 and 687,476 is: 1,040,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,124 : 687,476 = 687,476 : x
  2. Step 2: Convert to fraction form
    454,124/687,476 = 687,476/x
  3. Step 3: Cross multiply
    454,124x = 687,476 × 687,476
  4. Step 4: Simplify right side
    454,124x = 472,623,250,576
  5. Step 5: Solve for x
    x = 472,623,250,576/454,124
  6. Step 6: Final answer
    x = 1,040,736.12

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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.