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Finding the Third Proportional to 6,335.30 and 9,639.84

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Solution

The third proportional to 6,335.30 and 9,639.84 is: 14,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.30 : 9,639.84 = 9,639.84 : x
  2. Step 2: Convert to fraction form
    6,335.30/9,639.84 = 9,639.84/x
  3. Step 3: Cross multiply
    6,335.30x = 9,639.84 × 9,639.84
  4. Step 4: Simplify right side
    6,335.30x = 92,926,587.52
  5. Step 5: Solve for x
    x = 92,926,587.52/6,335.30
  6. Step 6: Final answer
    x = 14,668.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.