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Finding the Third Proportional to 305,126 and 638,134

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Solution

The third proportional to 305,126 and 638,134 is: 1,334,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,126 : 638,134 = 638,134 : x
  2. Step 2: Convert to fraction form
    305,126/638,134 = 638,134/x
  3. Step 3: Cross multiply
    305,126x = 638,134 × 638,134
  4. Step 4: Simplify right side
    305,126x = 407,215,001,956
  5. Step 5: Solve for x
    x = 407,215,001,956/305,126
  6. Step 6: Final answer
    x = 1,334,579.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.