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Finding the Third Proportional to 440,334.30 and 681,807.72

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Solution

The third proportional to 440,334.30 and 681,807.72 is: 1,055,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,334.30 : 681,807.72 = 681,807.72 : x
  2. Step 2: Convert to fraction form
    440,334.30/681,807.72 = 681,807.72/x
  3. Step 3: Cross multiply
    440,334.30x = 681,807.72 × 681,807.72
  4. Step 4: Simplify right side
    440,334.30x = 464,861,764,015.44
  5. Step 5: Solve for x
    x = 464,861,764,015.44/440,334.30
  6. Step 6: Final answer
    x = 1,055,701.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.