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Finding the Third Proportional to 109,431 and 239,355

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Solution

The third proportional to 109,431 and 239,355 is: 523,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,431 : 239,355 = 239,355 : x
  2. Step 2: Convert to fraction form
    109,431/239,355 = 239,355/x
  3. Step 3: Cross multiply
    109,431x = 239,355 × 239,355
  4. Step 4: Simplify right side
    109,431x = 57,290,816,025
  5. Step 5: Solve for x
    x = 57,290,816,025/109,431
  6. Step 6: Final answer
    x = 523,533.70

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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.