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Finding the Third Proportional to 91,175 and 138,021

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Solution

The third proportional to 91,175 and 138,021 is: 208,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,175 : 138,021 = 138,021 : x
  2. Step 2: Convert to fraction form
    91,175/138,021 = 138,021/x
  3. Step 3: Cross multiply
    91,175x = 138,021 × 138,021
  4. Step 4: Simplify right side
    91,175x = 19,049,796,441
  5. Step 5: Solve for x
    x = 19,049,796,441/91,175
  6. Step 6: Final answer
    x = 208,936.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.