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Finding the Third Proportional to 72,102 and 107,555

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Solution

The third proportional to 72,102 and 107,555 is: 160,440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,102 : 107,555 = 107,555 : x
  2. Step 2: Convert to fraction form
    72,102/107,555 = 107,555/x
  3. Step 3: Cross multiply
    72,102x = 107,555 × 107,555
  4. Step 4: Simplify right side
    72,102x = 11,568,078,025
  5. Step 5: Solve for x
    x = 11,568,078,025/72,102
  6. Step 6: Final answer
    x = 160,440.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.