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Finding the Third Proportional to 490,715 and 738,531

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Solution

The third proportional to 490,715 and 738,531 is: 1,111,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,715 : 738,531 = 738,531 : x
  2. Step 2: Convert to fraction form
    490,715/738,531 = 738,531/x
  3. Step 3: Cross multiply
    490,715x = 738,531 × 738,531
  4. Step 4: Simplify right side
    490,715x = 545,428,037,961
  5. Step 5: Solve for x
    x = 545,428,037,961/490,715
  6. Step 6: Final answer
    x = 1,111,496.57

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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.