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Finding the Third Proportional to 70,471.50 and 109,190.25

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Solution

The third proportional to 70,471.50 and 109,190.25 is: 169,182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,471.50 : 109,190.25 = 109,190.25 : x
  2. Step 2: Convert to fraction form
    70,471.50/109,190.25 = 109,190.25/x
  3. Step 3: Cross multiply
    70,471.50x = 109,190.25 × 109,190.25
  4. Step 4: Simplify right side
    70,471.50x = 11,922,510,695.06
  5. Step 5: Solve for x
    x = 11,922,510,695.06/70,471.50
  6. Step 6: Final answer
    x = 169,182.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.