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Finding the Third Proportional to 109,944 and 239,640

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Solution

The third proportional to 109,944 and 239,640 is: 522,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,944 : 239,640 = 239,640 : x
  2. Step 2: Convert to fraction form
    109,944/239,640 = 239,640/x
  3. Step 3: Cross multiply
    109,944x = 239,640 × 239,640
  4. Step 4: Simplify right side
    109,944x = 57,427,329,600
  5. Step 5: Solve for x
    x = 57,427,329,600/109,944
  6. Step 6: Final answer
    x = 522,332.55

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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.