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Finding the Third Proportional to 133,622 and 310,727

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Solution

The third proportional to 133,622 and 310,727 is: 722,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,622 : 310,727 = 310,727 : x
  2. Step 2: Convert to fraction form
    133,622/310,727 = 310,727/x
  3. Step 3: Cross multiply
    133,622x = 310,727 × 310,727
  4. Step 4: Simplify right side
    133,622x = 96,551,268,529
  5. Step 5: Solve for x
    x = 96,551,268,529/133,622
  6. Step 6: Final answer
    x = 722,570.15

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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.