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Finding the Third Proportional to 490,114 and 749,589

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Solution

The third proportional to 490,114 and 749,589 is: 1,146,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,114 : 749,589 = 749,589 : x
  2. Step 2: Convert to fraction form
    490,114/749,589 = 749,589/x
  3. Step 3: Cross multiply
    490,114x = 749,589 × 749,589
  4. Step 4: Simplify right side
    490,114x = 561,883,668,921
  5. Step 5: Solve for x
    x = 561,883,668,921/490,114
  6. Step 6: Final answer
    x = 1,146,434.64

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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.