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Finding the Third Proportional to 675.50 and 976.25

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Solution

The third proportional to 675.50 and 976.25 is: 1,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.50 : 976.25 = 976.25 : x
  2. Step 2: Convert to fraction form
    675.50/976.25 = 976.25/x
  3. Step 3: Cross multiply
    675.50x = 976.25 × 976.25
  4. Step 4: Simplify right side
    675.50x = 953,064.06
  5. Step 5: Solve for x
    x = 953,064.06/675.50
  6. Step 6: Final answer
    x = 1,410.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.