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Finding the Third Proportional to 508.08 and 675.42

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Solution

The third proportional to 508.08 and 675.42 is: 897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.08 : 675.42 = 675.42 : x
  2. Step 2: Convert to fraction form
    508.08/675.42 = 675.42/x
  3. Step 3: Cross multiply
    508.08x = 675.42 × 675.42
  4. Step 4: Simplify right side
    508.08x = 456,194.71
  5. Step 5: Solve for x
    x = 456,194.71/508.08
  6. Step 6: Final answer
    x = 897.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.