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Finding the Third Proportional to 133,625 and 205,478

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Solution

The third proportional to 133,625 and 205,478 is: 315,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,625 : 205,478 = 205,478 : x
  2. Step 2: Convert to fraction form
    133,625/205,478 = 205,478/x
  3. Step 3: Cross multiply
    133,625x = 205,478 × 205,478
  4. Step 4: Simplify right side
    133,625x = 42,221,208,484
  5. Step 5: Solve for x
    x = 42,221,208,484/133,625
  6. Step 6: Final answer
    x = 315,967.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.