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Finding the Third Proportional to 8,398.69 and 11,770.31

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Solution

The third proportional to 8,398.69 and 11,770.31 is: 16,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.69 : 11,770.31 = 11,770.31 : x
  2. Step 2: Convert to fraction form
    8,398.69/11,770.31 = 11,770.31/x
  3. Step 3: Cross multiply
    8,398.69x = 11,770.31 × 11,770.31
  4. Step 4: Simplify right side
    8,398.69x = 138,540,256.35
  5. Step 5: Solve for x
    x = 138,540,256.35/8,398.69
  6. Step 6: Final answer
    x = 16,495.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.