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Finding the Third Proportional to 136,928 and 296,320

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Solution

The third proportional to 136,928 and 296,320 is: 641,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,928 : 296,320 = 296,320 : x
  2. Step 2: Convert to fraction form
    136,928/296,320 = 296,320/x
  3. Step 3: Cross multiply
    136,928x = 296,320 × 296,320
  4. Step 4: Simplify right side
    136,928x = 87,805,542,400
  5. Step 5: Solve for x
    x = 87,805,542,400/136,928
  6. Step 6: Final answer
    x = 641,253.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.