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Finding the Third Proportional to 138,433 and 291,446

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Solution

The third proportional to 138,433 and 291,446 is: 613,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,433 : 291,446 = 291,446 : x
  2. Step 2: Convert to fraction form
    138,433/291,446 = 291,446/x
  3. Step 3: Cross multiply
    138,433x = 291,446 × 291,446
  4. Step 4: Simplify right side
    138,433x = 84,940,770,916
  5. Step 5: Solve for x
    x = 84,940,770,916/138,433
  6. Step 6: Final answer
    x = 613,587.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.