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Finding the Third Proportional to 342,103.50 and 728,493.75

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Solution

The third proportional to 342,103.50 and 728,493.75 is: 1,551,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,103.50 : 728,493.75 = 728,493.75 : x
  2. Step 2: Convert to fraction form
    342,103.50/728,493.75 = 728,493.75/x
  3. Step 3: Cross multiply
    342,103.50x = 728,493.75 × 728,493.75
  4. Step 4: Simplify right side
    342,103.50x = 530,703,143,789.06
  5. Step 5: Solve for x
    x = 530,703,143,789.06/342,103.50
  6. Step 6: Final answer
    x = 1,551,294.11

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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.