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Finding the Third Proportional to 20,853.75 and 31,308

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Solution

The third proportional to 20,853.75 and 31,308 is: 47,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.75 : 31,308 = 31,308 : x
  2. Step 2: Convert to fraction form
    20,853.75/31,308 = 31,308/x
  3. Step 3: Cross multiply
    20,853.75x = 31,308 × 31,308
  4. Step 4: Simplify right side
    20,853.75x = 980,190,864
  5. Step 5: Solve for x
    x = 980,190,864/20,853.75
  6. Step 6: Final answer
    x = 47,003.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.