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Finding the Third Proportional to 133,393.50 and 203,478

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Solution

The third proportional to 133,393.50 and 203,478 is: 310,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,393.50 : 203,478 = 203,478 : x
  2. Step 2: Convert to fraction form
    133,393.50/203,478 = 203,478/x
  3. Step 3: Cross multiply
    133,393.50x = 203,478 × 203,478
  4. Step 4: Simplify right side
    133,393.50x = 41,403,296,484
  5. Step 5: Solve for x
    x = 41,403,296,484/133,393.50
  6. Step 6: Final answer
    x = 310,384.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.