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Finding the Third Proportional to 133,440.75 and 318,961.13

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Solution

The third proportional to 133,440.75 and 318,961.13 is: 762,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,440.75 : 318,961.13 = 318,961.13 : x
  2. Step 2: Convert to fraction form
    133,440.75/318,961.13 = 318,961.13/x
  3. Step 3: Cross multiply
    133,440.75x = 318,961.13 × 318,961.13
  4. Step 4: Simplify right side
    133,440.75x = 101,736,199,261.27
  5. Step 5: Solve for x
    x = 101,736,199,261.27/133,440.75
  6. Step 6: Final answer
    x = 762,407.28

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.