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Finding the Third Proportional to 2,155.50 and 3,170.25

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Solution

The third proportional to 2,155.50 and 3,170.25 is: 4,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.50 : 3,170.25 = 3,170.25 : x
  2. Step 2: Convert to fraction form
    2,155.50/3,170.25 = 3,170.25/x
  3. Step 3: Cross multiply
    2,155.50x = 3,170.25 × 3,170.25
  4. Step 4: Simplify right side
    2,155.50x = 10,050,485.06
  5. Step 5: Solve for x
    x = 10,050,485.06/2,155.50
  6. Step 6: Final answer
    x = 4,662.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.