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Finding the Third Proportional to 6,421.78 and 9,439.03

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Solution

The third proportional to 6,421.78 and 9,439.03 is: 13,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.78 : 9,439.03 = 9,439.03 : x
  2. Step 2: Convert to fraction form
    6,421.78/9,439.03 = 9,439.03/x
  3. Step 3: Cross multiply
    6,421.78x = 9,439.03 × 9,439.03
  4. Step 4: Simplify right side
    6,421.78x = 89,095,310.94
  5. Step 5: Solve for x
    x = 89,095,310.94/6,421.78
  6. Step 6: Final answer
    x = 13,873.92

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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.