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Finding the Third Proportional to 255,564 and 396,851

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Solution

The third proportional to 255,564 and 396,851 is: 616,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,564 : 396,851 = 396,851 : x
  2. Step 2: Convert to fraction form
    255,564/396,851 = 396,851/x
  3. Step 3: Cross multiply
    255,564x = 396,851 × 396,851
  4. Step 4: Simplify right side
    255,564x = 157,490,716,201
  5. Step 5: Solve for x
    x = 157,490,716,201/255,564
  6. Step 6: Final answer
    x = 616,247.66

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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.