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Finding the Third Proportional to 9,042.75 and 21,783.38

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Solution

The third proportional to 9,042.75 and 21,783.38 is: 52,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.75 : 21,783.38 = 21,783.38 : x
  2. Step 2: Convert to fraction form
    9,042.75/21,783.38 = 21,783.38/x
  3. Step 3: Cross multiply
    9,042.75x = 21,783.38 × 21,783.38
  4. Step 4: Simplify right side
    9,042.75x = 474,515,426.39
  5. Step 5: Solve for x
    x = 474,515,426.39/9,042.75
  6. Step 6: Final answer
    x = 52,474.68

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.