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Finding the Third Proportional to 149,103 and 320,454

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Solution

The third proportional to 149,103 and 320,454 is: 688,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,103 : 320,454 = 320,454 : x
  2. Step 2: Convert to fraction form
    149,103/320,454 = 320,454/x
  3. Step 3: Cross multiply
    149,103x = 320,454 × 320,454
  4. Step 4: Simplify right side
    149,103x = 102,690,766,116
  5. Step 5: Solve for x
    x = 102,690,766,116/149,103
  6. Step 6: Final answer
    x = 688,723.68

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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.