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Finding the Third Proportional to 486,568 and 774,820

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Solution

The third proportional to 486,568 and 774,820 is: 1,233,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,568 : 774,820 = 774,820 : x
  2. Step 2: Convert to fraction form
    486,568/774,820 = 774,820/x
  3. Step 3: Cross multiply
    486,568x = 774,820 × 774,820
  4. Step 4: Simplify right side
    486,568x = 600,346,032,400
  5. Step 5: Solve for x
    x = 600,346,032,400/486,568
  6. Step 6: Final answer
    x = 1,233,837.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.