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Finding the Third Proportional to 72,768 and 107,104

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Solution

The third proportional to 72,768 and 107,104 is: 157,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,768 : 107,104 = 107,104 : x
  2. Step 2: Convert to fraction form
    72,768/107,104 = 107,104/x
  3. Step 3: Cross multiply
    72,768x = 107,104 × 107,104
  4. Step 4: Simplify right side
    72,768x = 11,471,266,816
  5. Step 5: Solve for x
    x = 11,471,266,816/72,768
  6. Step 6: Final answer
    x = 157,641.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.