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Finding the Third Proportional to 39,054 and 85,788

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Solution

The third proportional to 39,054 and 85,788 is: 188,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,054 : 85,788 = 85,788 : x
  2. Step 2: Convert to fraction form
    39,054/85,788 = 85,788/x
  3. Step 3: Cross multiply
    39,054x = 85,788 × 85,788
  4. Step 4: Simplify right side
    39,054x = 7,359,580,944
  5. Step 5: Solve for x
    x = 7,359,580,944/39,054
  6. Step 6: Final answer
    x = 188,446.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.