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Finding the Third Proportional to 72,409 and 115,166

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Solution

The third proportional to 72,409 and 115,166 is: 183,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,409 : 115,166 = 115,166 : x
  2. Step 2: Convert to fraction form
    72,409/115,166 = 115,166/x
  3. Step 3: Cross multiply
    72,409x = 115,166 × 115,166
  4. Step 4: Simplify right side
    72,409x = 13,263,207,556
  5. Step 5: Solve for x
    x = 13,263,207,556/72,409
  6. Step 6: Final answer
    x = 183,170.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.