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Finding the Third Proportional to 138,196 and 285,116

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Solution

The third proportional to 138,196 and 285,116 is: 588,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,196 : 285,116 = 285,116 : x
  2. Step 2: Convert to fraction form
    138,196/285,116 = 285,116/x
  3. Step 3: Cross multiply
    138,196x = 285,116 × 285,116
  4. Step 4: Simplify right side
    138,196x = 81,291,133,456
  5. Step 5: Solve for x
    x = 81,291,133,456/138,196
  6. Step 6: Final answer
    x = 588,230.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.