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Finding the Third Proportional to 39,775 and 85,778

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Solution

The third proportional to 39,775 and 85,778 is: 184,987.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,775 : 85,778 = 85,778 : x
  2. Step 2: Convert to fraction form
    39,775/85,778 = 85,778/x
  3. Step 3: Cross multiply
    39,775x = 85,778 × 85,778
  4. Step 4: Simplify right side
    39,775x = 7,357,865,284
  5. Step 5: Solve for x
    x = 7,357,865,284/39,775
  6. Step 6: Final answer
    x = 184,987.19

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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.