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Finding the Third Proportional to 133,564 and 287,864

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Solution

The third proportional to 133,564 and 287,864 is: 620,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,564 : 287,864 = 287,864 : x
  2. Step 2: Convert to fraction form
    133,564/287,864 = 287,864/x
  3. Step 3: Cross multiply
    133,564x = 287,864 × 287,864
  4. Step 4: Simplify right side
    133,564x = 82,865,682,496
  5. Step 5: Solve for x
    x = 82,865,682,496/133,564
  6. Step 6: Final answer
    x = 620,419.29

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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.