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Finding the Third Proportional to 138,000 and 296,736

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Solution

The third proportional to 138,000 and 296,736 is: 638,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,000 : 296,736 = 296,736 : x
  2. Step 2: Convert to fraction form
    138,000/296,736 = 296,736/x
  3. Step 3: Cross multiply
    138,000x = 296,736 × 296,736
  4. Step 4: Simplify right side
    138,000x = 88,052,253,696
  5. Step 5: Solve for x
    x = 88,052,253,696/138,000
  6. Step 6: Final answer
    x = 638,059.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.