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Finding the Third Proportional to 6,919.80 and 10,149.05

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Solution

The third proportional to 6,919.80 and 10,149.05 is: 14,885.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.80 : 10,149.05 = 10,149.05 : x
  2. Step 2: Convert to fraction form
    6,919.80/10,149.05 = 10,149.05/x
  3. Step 3: Cross multiply
    6,919.80x = 10,149.05 × 10,149.05
  4. Step 4: Simplify right side
    6,919.80x = 103,003,152.47
  5. Step 5: Solve for x
    x = 103,003,152.47/6,919.80
  6. Step 6: Final answer
    x = 14,885.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.