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Finding the Third Proportional to 520.28 and 772.51

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Solution

The third proportional to 520.28 and 772.51 is: 1,147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.28 : 772.51 = 772.51 : x
  2. Step 2: Convert to fraction form
    520.28/772.51 = 772.51/x
  3. Step 3: Cross multiply
    520.28x = 772.51 × 772.51
  4. Step 4: Simplify right side
    520.28x = 596,765.30
  5. Step 5: Solve for x
    x = 596,765.30/520.28
  6. Step 6: Final answer
    x = 1,147.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.