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Finding the Third Proportional to 283,403 and 396,264

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Solution

The third proportional to 283,403 and 396,264 is: 554,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,403 : 396,264 = 396,264 : x
  2. Step 2: Convert to fraction form
    283,403/396,264 = 396,264/x
  3. Step 3: Cross multiply
    283,403x = 396,264 × 396,264
  4. Step 4: Simplify right side
    283,403x = 157,025,157,696
  5. Step 5: Solve for x
    x = 157,025,157,696/283,403
  6. Step 6: Final answer
    x = 554,070.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.