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Finding the Third Proportional to 138,240 and 296,128

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Solution

The third proportional to 138,240 and 296,128 is: 634,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,240 : 296,128 = 296,128 : x
  2. Step 2: Convert to fraction form
    138,240/296,128 = 296,128/x
  3. Step 3: Cross multiply
    138,240x = 296,128 × 296,128
  4. Step 4: Simplify right side
    138,240x = 87,691,792,384
  5. Step 5: Solve for x
    x = 87,691,792,384/138,240
  6. Step 6: Final answer
    x = 634,344.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.