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Finding the Third Proportional to 115,218 and 239,632

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Solution

The third proportional to 115,218 and 239,632 is: 498,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,218 : 239,632 = 239,632 : x
  2. Step 2: Convert to fraction form
    115,218/239,632 = 239,632/x
  3. Step 3: Cross multiply
    115,218x = 239,632 × 239,632
  4. Step 4: Simplify right side
    115,218x = 57,423,495,424
  5. Step 5: Solve for x
    x = 57,423,495,424/115,218
  6. Step 6: Final answer
    x = 498,389.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.