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Finding the Third Proportional to 133,606 and 310,655

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Solution

The third proportional to 133,606 and 310,655 is: 722,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,606 : 310,655 = 310,655 : x
  2. Step 2: Convert to fraction form
    133,606/310,655 = 310,655/x
  3. Step 3: Cross multiply
    133,606x = 310,655 × 310,655
  4. Step 4: Simplify right side
    133,606x = 96,506,529,025
  5. Step 5: Solve for x
    x = 96,506,529,025/133,606
  6. Step 6: Final answer
    x = 722,321.82

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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.