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Finding the Third Proportional to 39,430 and 85,177

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Solution

The third proportional to 39,430 and 85,177 is: 184,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,430 : 85,177 = 85,177 : x
  2. Step 2: Convert to fraction form
    39,430/85,177 = 85,177/x
  3. Step 3: Cross multiply
    39,430x = 85,177 × 85,177
  4. Step 4: Simplify right side
    39,430x = 7,255,121,329
  5. Step 5: Solve for x
    x = 7,255,121,329/39,430
  6. Step 6: Final answer
    x = 184,000.03

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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.