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Finding the Third Proportional to 305,107 and 656,131

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Solution

The third proportional to 305,107 and 656,131 is: 1,411,006.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,107 : 656,131 = 656,131 : x
  2. Step 2: Convert to fraction form
    305,107/656,131 = 656,131/x
  3. Step 3: Cross multiply
    305,107x = 656,131 × 656,131
  4. Step 4: Simplify right side
    305,107x = 430,507,889,161
  5. Step 5: Solve for x
    x = 430,507,889,161/305,107
  6. Step 6: Final answer
    x = 1,411,006.27

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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.