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Finding the Third Proportional to 261.04 and 563.10

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Solution

The third proportional to 261.04 and 563.10 is: 1,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.04 : 563.10 = 563.10 : x
  2. Step 2: Convert to fraction form
    261.04/563.10 = 563.10/x
  3. Step 3: Cross multiply
    261.04x = 563.10 × 563.10
  4. Step 4: Simplify right side
    261.04x = 317,078.97
  5. Step 5: Solve for x
    x = 317,078.97/261.04
  6. Step 6: Final answer
    x = 1,214.70

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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.