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Finding the Third Proportional to 411,216.75 and 681,311.25

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Solution

The third proportional to 411,216.75 and 681,311.25 is: 1,128,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,216.75 : 681,311.25 = 681,311.25 : x
  2. Step 2: Convert to fraction form
    411,216.75/681,311.25 = 681,311.25/x
  3. Step 3: Cross multiply
    411,216.75x = 681,311.25 × 681,311.25
  4. Step 4: Simplify right side
    411,216.75x = 464,185,019,376.56
  5. Step 5: Solve for x
    x = 464,185,019,376.56/411,216.75
  6. Step 6: Final answer
    x = 1,128,808.64

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.