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Finding the Third Proportional to 305,103.75 and 656,124

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Solution

The third proportional to 305,103.75 and 656,124 is: 1,410,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,103.75 : 656,124 = 656,124 : x
  2. Step 2: Convert to fraction form
    305,103.75/656,124 = 656,124/x
  3. Step 3: Cross multiply
    305,103.75x = 656,124 × 656,124
  4. Step 4: Simplify right side
    305,103.75x = 430,498,703,376
  5. Step 5: Solve for x
    x = 430,498,703,376/305,103.75
  6. Step 6: Final answer
    x = 1,410,991.19

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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.