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Finding the Third Proportional to 133,078 and 205,125

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Solution

The third proportional to 133,078 and 205,125 is: 316,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078 : 205,125 = 205,125 : x
  2. Step 2: Convert to fraction form
    133,078/205,125 = 205,125/x
  3. Step 3: Cross multiply
    133,078x = 205,125 × 205,125
  4. Step 4: Simplify right side
    133,078x = 42,076,265,625
  5. Step 5: Solve for x
    x = 42,076,265,625/133,078
  6. Step 6: Final answer
    x = 316,177.47

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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.