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Finding the Third Proportional to 2,566.13 and 3,678.75

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Solution

The third proportional to 2,566.13 and 3,678.75 is: 5,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.13 : 3,678.75 = 3,678.75 : x
  2. Step 2: Convert to fraction form
    2,566.13/3,678.75 = 3,678.75/x
  3. Step 3: Cross multiply
    2,566.13x = 3,678.75 × 3,678.75
  4. Step 4: Simplify right side
    2,566.13x = 13,533,201.56
  5. Step 5: Solve for x
    x = 13,533,201.56/2,566.13
  6. Step 6: Final answer
    x = 5,273.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.