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Finding the Third Proportional to 644.38 and 969.63

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Solution

The third proportional to 644.38 and 969.63 is: 1,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.38 : 969.63 = 969.63 : x
  2. Step 2: Convert to fraction form
    644.38/969.63 = 969.63/x
  3. Step 3: Cross multiply
    644.38x = 969.63 × 969.63
  4. Step 4: Simplify right side
    644.38x = 940,172.64
  5. Step 5: Solve for x
    x = 940,172.64/644.38
  6. Step 6: Final answer
    x = 1,459.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.