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Finding the Third Proportional to 8,707.50 and 18,723.75

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Solution

The third proportional to 8,707.50 and 18,723.75 is: 40,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,707.50 : 18,723.75 = 18,723.75 : x
  2. Step 2: Convert to fraction form
    8,707.50/18,723.75 = 18,723.75/x
  3. Step 3: Cross multiply
    8,707.50x = 18,723.75 × 18,723.75
  4. Step 4: Simplify right side
    8,707.50x = 350,578,814.06
  5. Step 5: Solve for x
    x = 350,578,814.06/8,707.50
  6. Step 6: Final answer
    x = 40,261.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.