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Finding the Third Proportional to 422,904.75 and 911,828.25

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Solution

The third proportional to 422,904.75 and 911,828.25 is: 1,966,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,904.75 : 911,828.25 = 911,828.25 : x
  2. Step 2: Convert to fraction form
    422,904.75/911,828.25 = 911,828.25/x
  3. Step 3: Cross multiply
    422,904.75x = 911,828.25 × 911,828.25
  4. Step 4: Simplify right side
    422,904.75x = 831,430,757,498.06
  5. Step 5: Solve for x
    x = 831,430,757,498.06/422,904.75
  6. Step 6: Final answer
    x = 1,966,000.04

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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.