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Finding the Third Proportional to 109,392 and 239,356

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Solution

The third proportional to 109,392 and 239,356 is: 523,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,392 : 239,356 = 239,356 : x
  2. Step 2: Convert to fraction form
    109,392/239,356 = 239,356/x
  3. Step 3: Cross multiply
    109,392x = 239,356 × 239,356
  4. Step 4: Simplify right side
    109,392x = 57,291,294,736
  5. Step 5: Solve for x
    x = 57,291,294,736/109,392
  6. Step 6: Final answer
    x = 523,724.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.