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Finding the Third Proportional to 138,175 and 202,728

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Solution

The third proportional to 138,175 and 202,728 is: 297,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,175 : 202,728 = 202,728 : x
  2. Step 2: Convert to fraction form
    138,175/202,728 = 202,728/x
  3. Step 3: Cross multiply
    138,175x = 202,728 × 202,728
  4. Step 4: Simplify right side
    138,175x = 41,098,641,984
  5. Step 5: Solve for x
    x = 41,098,641,984/138,175
  6. Step 6: Final answer
    x = 297,439.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.