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Finding the Third Proportional to 8,653.69 and 18,909.19

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Solution

The third proportional to 8,653.69 and 18,909.19 is: 41,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.69 : 18,909.19 = 18,909.19 : x
  2. Step 2: Convert to fraction form
    8,653.69/18,909.19 = 18,909.19/x
  3. Step 3: Cross multiply
    8,653.69x = 18,909.19 × 18,909.19
  4. Step 4: Simplify right side
    8,653.69x = 357,557,371.91
  5. Step 5: Solve for x
    x = 357,557,371.91/8,653.69
  6. Step 6: Final answer
    x = 41,318.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.