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Finding the Third Proportional to 72,050 and 107,787

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Solution

The third proportional to 72,050 and 107,787 is: 161,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,050 : 107,787 = 107,787 : x
  2. Step 2: Convert to fraction form
    72,050/107,787 = 107,787/x
  3. Step 3: Cross multiply
    72,050x = 107,787 × 107,787
  4. Step 4: Simplify right side
    72,050x = 11,618,037,369
  5. Step 5: Solve for x
    x = 11,618,037,369/72,050
  6. Step 6: Final answer
    x = 161,249.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.