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Finding the Third Proportional to 6,464.81 and 10,902.09

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Solution

The third proportional to 6,464.81 and 10,902.09 is: 18,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.81 : 10,902.09 = 10,902.09 : x
  2. Step 2: Convert to fraction form
    6,464.81/10,902.09 = 10,902.09/x
  3. Step 3: Cross multiply
    6,464.81x = 10,902.09 × 10,902.09
  4. Step 4: Simplify right side
    6,464.81x = 118,855,648.13
  5. Step 5: Solve for x
    x = 118,855,648.13/6,464.81
  6. Step 6: Final answer
    x = 18,385.01

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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.