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Finding the Third Proportional to 9,793.13 and 11,012.63

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Solution

The third proportional to 9,793.13 and 11,012.63 is: 12,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.13 : 11,012.63 = 11,012.63 : x
  2. Step 2: Convert to fraction form
    9,793.13/11,012.63 = 11,012.63/x
  3. Step 3: Cross multiply
    9,793.13x = 11,012.63 × 11,012.63
  4. Step 4: Simplify right side
    9,793.13x = 121,277,909.39
  5. Step 5: Solve for x
    x = 121,277,909.39/9,793.13
  6. Step 6: Final answer
    x = 12,383.98

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.