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Finding the Third Proportional to 485,439 and 728,159

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Solution

The third proportional to 485,439 and 728,159 is: 1,092,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,439 : 728,159 = 728,159 : x
  2. Step 2: Convert to fraction form
    485,439/728,159 = 728,159/x
  3. Step 3: Cross multiply
    485,439x = 728,159 × 728,159
  4. Step 4: Simplify right side
    485,439x = 530,215,529,281
  5. Step 5: Solve for x
    x = 530,215,529,281/485,439
  6. Step 6: Final answer
    x = 1,092,239.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.