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Finding the Third Proportional to 2,110.50 and 3,129.75

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Solution

The third proportional to 2,110.50 and 3,129.75 is: 4,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.50 : 3,129.75 = 3,129.75 : x
  2. Step 2: Convert to fraction form
    2,110.50/3,129.75 = 3,129.75/x
  3. Step 3: Cross multiply
    2,110.50x = 3,129.75 × 3,129.75
  4. Step 4: Simplify right side
    2,110.50x = 9,795,335.06
  5. Step 5: Solve for x
    x = 9,795,335.06/2,110.50
  6. Step 6: Final answer
    x = 4,641.24

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.