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Finding the Third Proportional to 255,474 and 386,745

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Solution

The third proportional to 255,474 and 386,745 is: 585,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,474 : 386,745 = 386,745 : x
  2. Step 2: Convert to fraction form
    255,474/386,745 = 386,745/x
  3. Step 3: Cross multiply
    255,474x = 386,745 × 386,745
  4. Step 4: Simplify right side
    255,474x = 149,571,695,025
  5. Step 5: Solve for x
    x = 149,571,695,025/255,474
  6. Step 6: Final answer
    x = 585,467.39

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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.