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Finding the Third Proportional to 288,104.75 and 422,814

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Solution

The third proportional to 288,104.75 and 422,814 is: 620,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,104.75 : 422,814 = 422,814 : x
  2. Step 2: Convert to fraction form
    288,104.75/422,814 = 422,814/x
  3. Step 3: Cross multiply
    288,104.75x = 422,814 × 422,814
  4. Step 4: Simplify right side
    288,104.75x = 178,771,678,596
  5. Step 5: Solve for x
    x = 178,771,678,596/288,104.75
  6. Step 6: Final answer
    x = 620,509.31

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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.