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Finding the Third Proportional to 664,256 and 1,031,378

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Solution

The third proportional to 664,256 and 1,031,378 is: 1,601,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,256 : 1,031,378 = 1,031,378 : x
  2. Step 2: Convert to fraction form
    664,256/1,031,378 = 1,031,378/x
  3. Step 3: Cross multiply
    664,256x = 1,031,378 × 1,031,378
  4. Step 4: Simplify right side
    664,256x = 1,063,740,578,884
  5. Step 5: Solve for x
    x = 1,063,740,578,884/664,256
  6. Step 6: Final answer
    x = 1,601,401.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.