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Finding the Third Proportional to 9,313.50 and 20,203.75

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Solution

The third proportional to 9,313.50 and 20,203.75 is: 43,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.50 : 20,203.75 = 20,203.75 : x
  2. Step 2: Convert to fraction form
    9,313.50/20,203.75 = 20,203.75/x
  3. Step 3: Cross multiply
    9,313.50x = 20,203.75 × 20,203.75
  4. Step 4: Simplify right side
    9,313.50x = 408,191,514.06
  5. Step 5: Solve for x
    x = 408,191,514.06/9,313.50
  6. Step 6: Final answer
    x = 43,827.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.