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Finding the Third Proportional to 538.21 and 775.99

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Solution

The third proportional to 538.21 and 775.99 is: 1,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.21 : 775.99 = 775.99 : x
  2. Step 2: Convert to fraction form
    538.21/775.99 = 775.99/x
  3. Step 3: Cross multiply
    538.21x = 775.99 × 775.99
  4. Step 4: Simplify right side
    538.21x = 602,154.78
  5. Step 5: Solve for x
    x = 602,154.78/538.21
  6. Step 6: Final answer
    x = 1,118.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.