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Finding the Third Proportional to 78,009 and 117,702

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Solution

The third proportional to 78,009 and 117,702 is: 177,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,009 : 117,702 = 117,702 : x
  2. Step 2: Convert to fraction form
    78,009/117,702 = 117,702/x
  3. Step 3: Cross multiply
    78,009x = 117,702 × 117,702
  4. Step 4: Simplify right side
    78,009x = 13,853,760,804
  5. Step 5: Solve for x
    x = 13,853,760,804/78,009
  6. Step 6: Final answer
    x = 177,591.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.