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Finding the Third Proportional to 7,439.44 and 11,528.72

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Solution

The third proportional to 7,439.44 and 11,528.72 is: 17,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439.44 : 11,528.72 = 11,528.72 : x
  2. Step 2: Convert to fraction form
    7,439.44/11,528.72 = 11,528.72/x
  3. Step 3: Cross multiply
    7,439.44x = 11,528.72 × 11,528.72
  4. Step 4: Simplify right side
    7,439.44x = 132,911,356.02
  5. Step 5: Solve for x
    x = 132,911,356.02/7,439.44
  6. Step 6: Final answer
    x = 17,865.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.