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Finding the Third Proportional to 42,565.50 and 91,626.75

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Solution

The third proportional to 42,565.50 and 91,626.75 is: 197,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,565.50 : 91,626.75 = 91,626.75 : x
  2. Step 2: Convert to fraction form
    42,565.50/91,626.75 = 91,626.75/x
  3. Step 3: Cross multiply
    42,565.50x = 91,626.75 × 91,626.75
  4. Step 4: Simplify right side
    42,565.50x = 8,395,461,315.56
  5. Step 5: Solve for x
    x = 8,395,461,315.56/42,565.50
  6. Step 6: Final answer
    x = 197,236.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.