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Finding the Third Proportional to 138,194 and 286,772

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Solution

The third proportional to 138,194 and 286,772 is: 595,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,194 : 286,772 = 286,772 : x
  2. Step 2: Convert to fraction form
    138,194/286,772 = 286,772/x
  3. Step 3: Cross multiply
    138,194x = 286,772 × 286,772
  4. Step 4: Simplify right side
    138,194x = 82,238,179,984
  5. Step 5: Solve for x
    x = 82,238,179,984/138,194
  6. Step 6: Final answer
    x = 595,092.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.