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Finding the Third Proportional to 149,493 and 318,366

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Solution

The third proportional to 149,493 and 318,366 is: 678,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,493 : 318,366 = 318,366 : x
  2. Step 2: Convert to fraction form
    149,493/318,366 = 318,366/x
  3. Step 3: Cross multiply
    149,493x = 318,366 × 318,366
  4. Step 4: Simplify right side
    149,493x = 101,356,909,956
  5. Step 5: Solve for x
    x = 101,356,909,956/149,493
  6. Step 6: Final answer
    x = 678,004.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.