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Finding the Third Proportional to 255,408 and 386,667

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Solution

The third proportional to 255,408 and 386,667 is: 585,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,408 : 386,667 = 386,667 : x
  2. Step 2: Convert to fraction form
    255,408/386,667 = 386,667/x
  3. Step 3: Cross multiply
    255,408x = 386,667 × 386,667
  4. Step 4: Simplify right side
    255,408x = 149,511,368,889
  5. Step 5: Solve for x
    x = 149,511,368,889/255,408
  6. Step 6: Final answer
    x = 585,382.48

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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.