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Finding the Third Proportional to 969.63 and 1,338.40

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Solution

The third proportional to 969.63 and 1,338.40 is: 1,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.63 : 1,338.40 = 1,338.40 : x
  2. Step 2: Convert to fraction form
    969.63/1,338.40 = 1,338.40/x
  3. Step 3: Cross multiply
    969.63x = 1,338.40 × 1,338.40
  4. Step 4: Simplify right side
    969.63x = 1,791,310.38
  5. Step 5: Solve for x
    x = 1,791,310.38/969.63
  6. Step 6: Final answer
    x = 1,847.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.