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Finding the Third Proportional to 485,433.80 and 728,150.77

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Solution

The third proportional to 485,433.80 and 728,150.77 is: 1,092,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,433.80 : 728,150.77 = 728,150.77 : x
  2. Step 2: Convert to fraction form
    485,433.80/728,150.77 = 728,150.77/x
  3. Step 3: Cross multiply
    485,433.80x = 728,150.77 × 728,150.77
  4. Step 4: Simplify right side
    485,433.80x = 530,203,537,480.27
  5. Step 5: Solve for x
    x = 530,203,537,480.27/485,433.80
  6. Step 6: Final answer
    x = 1,092,226.25

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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.