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Finding the Third Proportional to 9,335.25 and 20,057.63

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Solution

The third proportional to 9,335.25 and 20,057.63 is: 43,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.25 : 20,057.63 = 20,057.63 : x
  2. Step 2: Convert to fraction form
    9,335.25/20,057.63 = 20,057.63/x
  3. Step 3: Cross multiply
    9,335.25x = 20,057.63 × 20,057.63
  4. Step 4: Simplify right side
    9,335.25x = 402,308,320.64
  5. Step 5: Solve for x
    x = 402,308,320.64/9,335.25
  6. Step 6: Final answer
    x = 43,095.61

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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.