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Finding the Third Proportional to 20,388.13 and 31,509.94

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Solution

The third proportional to 20,388.13 and 31,509.94 is: 48,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,388.13 : 31,509.94 = 31,509.94 : x
  2. Step 2: Convert to fraction form
    20,388.13/31,509.94 = 31,509.94/x
  3. Step 3: Cross multiply
    20,388.13x = 31,509.94 × 31,509.94
  4. Step 4: Simplify right side
    20,388.13x = 992,876,161.25
  5. Step 5: Solve for x
    x = 992,876,161.25/20,388.13
  6. Step 6: Final answer
    x = 48,698.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.