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Finding the Third Proportional to 20,311.88 and 31,389.75

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Solution

The third proportional to 20,311.88 and 31,389.75 is: 48,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,311.88 : 31,389.75 = 31,389.75 : x
  2. Step 2: Convert to fraction form
    20,311.88/31,389.75 = 31,389.75/x
  3. Step 3: Cross multiply
    20,311.88x = 31,389.75 × 31,389.75
  4. Step 4: Simplify right side
    20,311.88x = 985,316,405.06
  5. Step 5: Solve for x
    x = 985,316,405.06/20,311.88
  6. Step 6: Final answer
    x = 48,509.38

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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.