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Finding the Third Proportional to 491,123 and 738,512

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Solution

The third proportional to 491,123 and 738,512 is: 1,110,516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,123 : 738,512 = 738,512 : x
  2. Step 2: Convert to fraction form
    491,123/738,512 = 738,512/x
  3. Step 3: Cross multiply
    491,123x = 738,512 × 738,512
  4. Step 4: Simplify right side
    491,123x = 545,399,974,144
  5. Step 5: Solve for x
    x = 545,399,974,144/491,123
  6. Step 6: Final answer
    x = 1,110,516.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.