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Finding the Third Proportional to 6,979.61 and 10,534.90

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Solution

The third proportional to 6,979.61 and 10,534.90 is: 15,901.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,979.61 : 10,534.90 = 10,534.90 : x
  2. Step 2: Convert to fraction form
    6,979.61/10,534.90 = 10,534.90/x
  3. Step 3: Cross multiply
    6,979.61x = 10,534.90 × 10,534.90
  4. Step 4: Simplify right side
    6,979.61x = 110,984,208.54
  5. Step 5: Solve for x
    x = 110,984,208.54/6,979.61
  6. Step 6: Final answer
    x = 15,901.22

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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.