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Finding the Third Proportional to 149,105 and 320,458

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Solution

The third proportional to 149,105 and 320,458 is: 688,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,105 : 320,458 = 320,458 : x
  2. Step 2: Convert to fraction form
    149,105/320,458 = 320,458/x
  3. Step 3: Cross multiply
    149,105x = 320,458 × 320,458
  4. Step 4: Simplify right side
    149,105x = 102,693,329,764
  5. Step 5: Solve for x
    x = 102,693,329,764/149,105
  6. Step 6: Final answer
    x = 688,731.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.