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Finding the Third Proportional to 109,778.63 and 239,649.47

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Solution

The third proportional to 109,778.63 and 239,649.47 is: 523,160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,778.63 : 239,649.47 = 239,649.47 : x
  2. Step 2: Convert to fraction form
    109,778.63/239,649.47 = 239,649.47/x
  3. Step 3: Cross multiply
    109,778.63x = 239,649.47 × 239,649.47
  4. Step 4: Simplify right side
    109,778.63x = 57,431,867,872.16
  5. Step 5: Solve for x
    x = 57,431,867,872.16/109,778.63
  6. Step 6: Final answer
    x = 523,160.75

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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.