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Finding the Third Proportional to 39,774 and 85,775

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Solution

The third proportional to 39,774 and 85,775 is: 184,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,774 : 85,775 = 85,775 : x
  2. Step 2: Convert to fraction form
    39,774/85,775 = 85,775/x
  3. Step 3: Cross multiply
    39,774x = 85,775 × 85,775
  4. Step 4: Simplify right side
    39,774x = 7,357,350,625
  5. Step 5: Solve for x
    x = 7,357,350,625/39,774
  6. Step 6: Final answer
    x = 184,978.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.