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Finding the Third Proportional to 403,776 and 728,616

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Solution

The third proportional to 403,776 and 728,616 is: 1,314,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,776 : 728,616 = 728,616 : x
  2. Step 2: Convert to fraction form
    403,776/728,616 = 728,616/x
  3. Step 3: Cross multiply
    403,776x = 728,616 × 728,616
  4. Step 4: Simplify right side
    403,776x = 530,881,275,456
  5. Step 5: Solve for x
    x = 530,881,275,456/403,776
  6. Step 6: Final answer
    x = 1,314,791.56

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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.