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Finding the Third Proportional to 3,052.69 and 3,345.05

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Solution

The third proportional to 3,052.69 and 3,345.05 is: 3,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.69 : 3,345.05 = 3,345.05 : x
  2. Step 2: Convert to fraction form
    3,052.69/3,345.05 = 3,345.05/x
  3. Step 3: Cross multiply
    3,052.69x = 3,345.05 × 3,345.05
  4. Step 4: Simplify right side
    3,052.69x = 11,189,338.60
  5. Step 5: Solve for x
    x = 11,189,338.60/3,052.69
  6. Step 6: Final answer
    x = 3,665.41

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.