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Finding the Third Proportional to 82,424 and 177,988

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Solution

The third proportional to 82,424 and 177,988 is: 384,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,424 : 177,988 = 177,988 : x
  2. Step 2: Convert to fraction form
    82,424/177,988 = 177,988/x
  3. Step 3: Cross multiply
    82,424x = 177,988 × 177,988
  4. Step 4: Simplify right side
    82,424x = 31,679,728,144
  5. Step 5: Solve for x
    x = 31,679,728,144/82,424
  6. Step 6: Final answer
    x = 384,350.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.