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Finding the Third Proportional to 508.25 and 775.88

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Solution

The third proportional to 508.25 and 775.88 is: 1,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.25 : 775.88 = 775.88 : x
  2. Step 2: Convert to fraction form
    508.25/775.88 = 775.88/x
  3. Step 3: Cross multiply
    508.25x = 775.88 × 775.88
  4. Step 4: Simplify right side
    508.25x = 601,982.02
  5. Step 5: Solve for x
    x = 601,982.02/508.25
  6. Step 6: Final answer
    x = 1,184.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.