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Finding the Third Proportional to 39,905 and 85,690

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Solution

The third proportional to 39,905 and 85,690 is: 184,006.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,905 : 85,690 = 85,690 : x
  2. Step 2: Convert to fraction form
    39,905/85,690 = 85,690/x
  3. Step 3: Cross multiply
    39,905x = 85,690 × 85,690
  4. Step 4: Simplify right side
    39,905x = 7,342,776,100
  5. Step 5: Solve for x
    x = 7,342,776,100/39,905
  6. Step 6: Final answer
    x = 184,006.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.