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Finding the Third Proportional to 38,559 and 57,678

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Solution

The third proportional to 38,559 and 57,678 is: 86,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,559 : 57,678 = 57,678 : x
  2. Step 2: Convert to fraction form
    38,559/57,678 = 57,678/x
  3. Step 3: Cross multiply
    38,559x = 57,678 × 57,678
  4. Step 4: Simplify right side
    38,559x = 3,326,751,684
  5. Step 5: Solve for x
    x = 3,326,751,684/38,559
  6. Step 6: Final answer
    x = 86,276.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.