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Finding the Third Proportional to 9,250 and 20,186.50

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Solution

The third proportional to 9,250 and 20,186.50 is: 44,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250 : 20,186.50 = 20,186.50 : x
  2. Step 2: Convert to fraction form
    9,250/20,186.50 = 20,186.50/x
  3. Step 3: Cross multiply
    9,250x = 20,186.50 × 20,186.50
  4. Step 4: Simplify right side
    9,250x = 407,494,782.25
  5. Step 5: Solve for x
    x = 407,494,782.25/9,250
  6. Step 6: Final answer
    x = 44,053.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.