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Finding the Third Proportional to 486,543 and 774,785

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Solution

The third proportional to 486,543 and 774,785 is: 1,233,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,543 : 774,785 = 774,785 : x
  2. Step 2: Convert to fraction form
    486,543/774,785 = 774,785/x
  3. Step 3: Cross multiply
    486,543x = 774,785 × 774,785
  4. Step 4: Simplify right side
    486,543x = 600,291,796,225
  5. Step 5: Solve for x
    x = 600,291,796,225/486,543
  6. Step 6: Final answer
    x = 1,233,789.81

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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.