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Finding the Third Proportional to 7,509.38 and 10,876.78

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Solution

The third proportional to 7,509.38 and 10,876.78 is: 15,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.38 : 10,876.78 = 10,876.78 : x
  2. Step 2: Convert to fraction form
    7,509.38/10,876.78 = 10,876.78/x
  3. Step 3: Cross multiply
    7,509.38x = 10,876.78 × 10,876.78
  4. Step 4: Simplify right side
    7,509.38x = 118,304,370.36
  5. Step 5: Solve for x
    x = 118,304,370.36/7,509.38
  6. Step 6: Final answer
    x = 15,754.22

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1.5x scale

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.