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Finding the Third Proportional to 305,103 and 656,123

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Solution

The third proportional to 305,103 and 656,123 is: 1,410,990.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,103 : 656,123 = 656,123 : x
  2. Step 2: Convert to fraction form
    305,103/656,123 = 656,123/x
  3. Step 3: Cross multiply
    305,103x = 656,123 × 656,123
  4. Step 4: Simplify right side
    305,103x = 430,497,391,129
  5. Step 5: Solve for x
    x = 430,497,391,129/305,103
  6. Step 6: Final answer
    x = 1,410,990.36

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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.