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Finding the Third Proportional to 10,288.13 and 22,456.13

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Solution

The third proportional to 10,288.13 and 22,456.13 is: 49,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.13 : 22,456.13 = 22,456.13 : x
  2. Step 2: Convert to fraction form
    10,288.13/22,456.13 = 22,456.13/x
  3. Step 3: Cross multiply
    10,288.13x = 22,456.13 × 22,456.13
  4. Step 4: Simplify right side
    10,288.13x = 504,277,550.02
  5. Step 5: Solve for x
    x = 504,277,550.02/10,288.13
  6. Step 6: Final answer
    x = 49,015.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.