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Finding the Third Proportional to 72,074 and 115,131

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Solution

The third proportional to 72,074 and 115,131 is: 183,910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,074 : 115,131 = 115,131 : x
  2. Step 2: Convert to fraction form
    72,074/115,131 = 115,131/x
  3. Step 3: Cross multiply
    72,074x = 115,131 × 115,131
  4. Step 4: Simplify right side
    72,074x = 13,255,147,161
  5. Step 5: Solve for x
    x = 13,255,147,161/72,074
  6. Step 6: Final answer
    x = 183,910.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.