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Finding the Third Proportional to 288,156.75 and 422,893.13

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Solution

The third proportional to 288,156.75 and 422,893.13 is: 620,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,156.75 : 422,893.13 = 422,893.13 : x
  2. Step 2: Convert to fraction form
    288,156.75/422,893.13 = 422,893.13/x
  3. Step 3: Cross multiply
    288,156.75x = 422,893.13 × 422,893.13
  4. Step 4: Simplify right side
    288,156.75x = 178,838,595,172.27
  5. Step 5: Solve for x
    x = 178,838,595,172.27/288,156.75
  6. Step 6: Final answer
    x = 620,629.55

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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.