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Finding the Third Proportional to 827,003.81 and 1,780,720.31

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Solution

The third proportional to 827,003.81 and 1,780,720.31 is: 3,834,280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,003.81 : 1,780,720.31 = 1,780,720.31 : x
  2. Step 2: Convert to fraction form
    827,003.81/1,780,720.31 = 1,780,720.31/x
  3. Step 3: Cross multiply
    827,003.81x = 1,780,720.31 × 1,780,720.31
  4. Step 4: Simplify right side
    827,003.81x = 3,170,964,831,350.10
  5. Step 5: Solve for x
    x = 3,170,964,831,350.10/827,003.81
  6. Step 6: Final answer
    x = 3,834,280.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.