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Finding the Third Proportional to 72,181.13 and 173,891.81

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Solution

The third proportional to 72,181.13 and 173,891.81 is: 418,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,181.13 : 173,891.81 = 173,891.81 : x
  2. Step 2: Convert to fraction form
    72,181.13/173,891.81 = 173,891.81/x
  3. Step 3: Cross multiply
    72,181.13x = 173,891.81 × 173,891.81
  4. Step 4: Simplify right side
    72,181.13x = 30,238,362,454.54
  5. Step 5: Solve for x
    x = 30,238,362,454.54/72,181.13
  6. Step 6: Final answer
    x = 418,923.40

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.