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Finding the Third Proportional to 490,714 and 738,529

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Solution

The third proportional to 490,714 and 738,529 is: 1,111,492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,714 : 738,529 = 738,529 : x
  2. Step 2: Convert to fraction form
    490,714/738,529 = 738,529/x
  3. Step 3: Cross multiply
    490,714x = 738,529 × 738,529
  4. Step 4: Simplify right side
    490,714x = 545,425,083,841
  5. Step 5: Solve for x
    x = 545,425,083,841/490,714
  6. Step 6: Final answer
    x = 1,111,492.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.