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Finding the Third Proportional to 422,903.25 and 911,824.31

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Solution

The third proportional to 422,903.25 and 911,824.31 is: 1,965,990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,903.25 : 911,824.31 = 911,824.31 : x
  2. Step 2: Convert to fraction form
    422,903.25/911,824.31 = 911,824.31/x
  3. Step 3: Cross multiply
    422,903.25x = 911,824.31 × 911,824.31
  4. Step 4: Simplify right side
    422,903.25x = 831,423,576,866.10
  5. Step 5: Solve for x
    x = 831,423,576,866.10/422,903.25
  6. Step 6: Final answer
    x = 1,965,990.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.