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Finding the Third Proportional to 6,464.81 and 9,149.20

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Solution

The third proportional to 6,464.81 and 9,149.20 is: 12,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.81 : 9,149.20 = 9,149.20 : x
  2. Step 2: Convert to fraction form
    6,464.81/9,149.20 = 9,149.20/x
  3. Step 3: Cross multiply
    6,464.81x = 9,149.20 × 9,149.20
  4. Step 4: Simplify right side
    6,464.81x = 83,707,917.82
  5. Step 5: Solve for x
    x = 83,707,917.82/6,464.81
  6. Step 6: Final answer
    x = 12,948.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.