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Finding the Third Proportional to 72,190 and 111,103

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Solution

The third proportional to 72,190 and 111,103 is: 170,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,190 : 111,103 = 111,103 : x
  2. Step 2: Convert to fraction form
    72,190/111,103 = 111,103/x
  3. Step 3: Cross multiply
    72,190x = 111,103 × 111,103
  4. Step 4: Simplify right side
    72,190x = 12,343,876,609
  5. Step 5: Solve for x
    x = 12,343,876,609/72,190
  6. Step 6: Final answer
    x = 170,991.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.