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Finding the Third Proportional to 207.28 and 514.83

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Solution

The third proportional to 207.28 and 514.83 is: 1,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.28 : 514.83 = 514.83 : x
  2. Step 2: Convert to fraction form
    207.28/514.83 = 514.83/x
  3. Step 3: Cross multiply
    207.28x = 514.83 × 514.83
  4. Step 4: Simplify right side
    207.28x = 265,048.00
  5. Step 5: Solve for x
    x = 265,048.00/207.28
  6. Step 6: Final answer
    x = 1,278.69

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.