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Finding the Third Proportional to 140,928 and 305,472

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Solution

The third proportional to 140,928 and 305,472 is: 662,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,928 : 305,472 = 305,472 : x
  2. Step 2: Convert to fraction form
    140,928/305,472 = 305,472/x
  3. Step 3: Cross multiply
    140,928x = 305,472 × 305,472
  4. Step 4: Simplify right side
    140,928x = 93,313,142,784
  5. Step 5: Solve for x
    x = 93,313,142,784/140,928
  6. Step 6: Final answer
    x = 662,133.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.