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Finding the Third Proportional to 111,387 and 235,988

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Solution

The third proportional to 111,387 and 235,988 is: 499,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,387 : 235,988 = 235,988 : x
  2. Step 2: Convert to fraction form
    111,387/235,988 = 235,988/x
  3. Step 3: Cross multiply
    111,387x = 235,988 × 235,988
  4. Step 4: Simplify right side
    111,387x = 55,690,336,144
  5. Step 5: Solve for x
    x = 55,690,336,144/111,387
  6. Step 6: Final answer
    x = 499,971.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.