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Finding the Third Proportional to 133,072 and 205,115

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Solution

The third proportional to 133,072 and 205,115 is: 316,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,072 : 205,115 = 205,115 : x
  2. Step 2: Convert to fraction form
    133,072/205,115 = 205,115/x
  3. Step 3: Cross multiply
    133,072x = 205,115 × 205,115
  4. Step 4: Simplify right side
    133,072x = 42,072,163,225
  5. Step 5: Solve for x
    x = 42,072,163,225/133,072
  6. Step 6: Final answer
    x = 316,160.90

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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.