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Finding the Third Proportional to 6,987.94 and 10,572.19

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Solution

The third proportional to 6,987.94 and 10,572.19 is: 15,994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.94 : 10,572.19 = 10,572.19 : x
  2. Step 2: Convert to fraction form
    6,987.94/10,572.19 = 10,572.19/x
  3. Step 3: Cross multiply
    6,987.94x = 10,572.19 × 10,572.19
  4. Step 4: Simplify right side
    6,987.94x = 111,771,148.54
  5. Step 5: Solve for x
    x = 111,771,148.54/6,987.94
  6. Step 6: Final answer
    x = 15,994.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.