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Finding the Third Proportional to 65,490.75 and 133,731

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Solution

The third proportional to 65,490.75 and 133,731 is: 273,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,490.75 : 133,731 = 133,731 : x
  2. Step 2: Convert to fraction form
    65,490.75/133,731 = 133,731/x
  3. Step 3: Cross multiply
    65,490.75x = 133,731 × 133,731
  4. Step 4: Simplify right side
    65,490.75x = 17,883,980,361
  5. Step 5: Solve for x
    x = 17,883,980,361/65,490.75
  6. Step 6: Final answer
    x = 273,076.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.