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Finding the Third Proportional to 508.50 and 676.25

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Solution

The third proportional to 508.50 and 676.25 is: 899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.50 : 676.25 = 676.25 : x
  2. Step 2: Convert to fraction form
    508.50/676.25 = 676.25/x
  3. Step 3: Cross multiply
    508.50x = 676.25 × 676.25
  4. Step 4: Simplify right side
    508.50x = 457,314.06
  5. Step 5: Solve for x
    x = 457,314.06/508.50
  6. Step 6: Final answer
    x = 899.34

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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.