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Finding the Third Proportional to 133,632 and 310,728

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Solution

The third proportional to 133,632 and 310,728 is: 722,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,632 : 310,728 = 310,728 : x
  2. Step 2: Convert to fraction form
    133,632/310,728 = 310,728/x
  3. Step 3: Cross multiply
    133,632x = 310,728 × 310,728
  4. Step 4: Simplify right side
    133,632x = 96,551,889,984
  5. Step 5: Solve for x
    x = 96,551,889,984/133,632
  6. Step 6: Final answer
    x = 722,520.73

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.