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Finding the Third Proportional to 261.28 and 563.81

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Solution

The third proportional to 261.28 and 563.81 is: 1,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.28 : 563.81 = 563.81 : x
  2. Step 2: Convert to fraction form
    261.28/563.81 = 563.81/x
  3. Step 3: Cross multiply
    261.28x = 563.81 × 563.81
  4. Step 4: Simplify right side
    261.28x = 317,884.54
  5. Step 5: Solve for x
    x = 317,884.54/261.28
  6. Step 6: Final answer
    x = 1,216.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.