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Finding the Third Proportional to 490,208 and 757,154

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Solution

The third proportional to 490,208 and 757,154 is: 1,169,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,208 : 757,154 = 757,154 : x
  2. Step 2: Convert to fraction form
    490,208/757,154 = 757,154/x
  3. Step 3: Cross multiply
    490,208x = 757,154 × 757,154
  4. Step 4: Simplify right side
    490,208x = 573,282,179,716
  5. Step 5: Solve for x
    x = 573,282,179,716/490,208
  6. Step 6: Final answer
    x = 1,169,467.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.