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Finding the Third Proportional to 133,087 and 291,689

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Solution

The third proportional to 133,087 and 291,689 is: 639,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,087 : 291,689 = 291,689 : x
  2. Step 2: Convert to fraction form
    133,087/291,689 = 291,689/x
  3. Step 3: Cross multiply
    133,087x = 291,689 × 291,689
  4. Step 4: Simplify right side
    133,087x = 85,082,472,721
  5. Step 5: Solve for x
    x = 85,082,472,721/133,087
  6. Step 6: Final answer
    x = 639,299.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.