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Finding the Third Proportional to 486,789 and 726,129

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Solution

The third proportional to 486,789 and 726,129 is: 1,083,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,789 : 726,129 = 726,129 : x
  2. Step 2: Convert to fraction form
    486,789/726,129 = 726,129/x
  3. Step 3: Cross multiply
    486,789x = 726,129 × 726,129
  4. Step 4: Simplify right side
    486,789x = 527,263,324,641
  5. Step 5: Solve for x
    x = 527,263,324,641/486,789
  6. Step 6: Final answer
    x = 1,083,145.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.