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Finding the Third Proportional to 287,136 and 422,772.75

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Solution

The third proportional to 287,136 and 422,772.75 is: 622,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,136 : 422,772.75 = 422,772.75 : x
  2. Step 2: Convert to fraction form
    287,136/422,772.75 = 422,772.75/x
  3. Step 3: Cross multiply
    287,136x = 422,772.75 × 422,772.75
  4. Step 4: Simplify right side
    287,136x = 178,736,798,142.56
  5. Step 5: Solve for x
    x = 178,736,798,142.56/287,136
  6. Step 6: Final answer
    x = 622,481.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.