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Finding the Third Proportional to 403,774 and 728,612

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Solution

The third proportional to 403,774 and 728,612 is: 1,314,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,774 : 728,612 = 728,612 : x
  2. Step 2: Convert to fraction form
    403,774/728,612 = 728,612/x
  3. Step 3: Cross multiply
    403,774x = 728,612 × 728,612
  4. Step 4: Simplify right side
    403,774x = 530,875,446,544
  5. Step 5: Solve for x
    x = 530,875,446,544/403,774
  6. Step 6: Final answer
    x = 1,314,783.63

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.