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Finding the Third Proportional to 133,035 and 272,285

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Solution

The third proportional to 133,035 and 272,285 is: 557,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,035 : 272,285 = 272,285 : x
  2. Step 2: Convert to fraction form
    133,035/272,285 = 272,285/x
  3. Step 3: Cross multiply
    133,035x = 272,285 × 272,285
  4. Step 4: Simplify right side
    133,035x = 74,139,121,225
  5. Step 5: Solve for x
    x = 74,139,121,225/133,035
  6. Step 6: Final answer
    x = 557,290.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.