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Finding the Third Proportional to 490,144 and 749,634

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Solution

The third proportional to 490,144 and 749,634 is: 1,146,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,144 : 749,634 = 749,634 : x
  2. Step 2: Convert to fraction form
    490,144/749,634 = 749,634/x
  3. Step 3: Cross multiply
    490,144x = 749,634 × 749,634
  4. Step 4: Simplify right side
    490,144x = 561,951,133,956
  5. Step 5: Solve for x
    x = 561,951,133,956/490,144
  6. Step 6: Final answer
    x = 1,146,502.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.