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Finding the Third Proportional to 263.57 and 563.64

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Solution

The third proportional to 263.57 and 563.64 is: 1,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.57 : 563.64 = 563.64 : x
  2. Step 2: Convert to fraction form
    263.57/563.64 = 563.64/x
  3. Step 3: Cross multiply
    263.57x = 563.64 × 563.64
  4. Step 4: Simplify right side
    263.57x = 317,688.00
  5. Step 5: Solve for x
    x = 317,688.00/263.57
  6. Step 6: Final answer
    x = 1,205.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.