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Finding the Third Proportional to 133,877 and 289,796

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Solution

The third proportional to 133,877 and 289,796 is: 627,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,877 : 289,796 = 289,796 : x
  2. Step 2: Convert to fraction form
    133,877/289,796 = 289,796/x
  3. Step 3: Cross multiply
    133,877x = 289,796 × 289,796
  4. Step 4: Simplify right side
    133,877x = 83,981,721,616
  5. Step 5: Solve for x
    x = 83,981,721,616/133,877
  6. Step 6: Final answer
    x = 627,305.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.