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Finding the Third Proportional to 288,107 and 422,817

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Solution

The third proportional to 288,107 and 422,817 is: 620,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,107 : 422,817 = 422,817 : x
  2. Step 2: Convert to fraction form
    288,107/422,817 = 422,817/x
  3. Step 3: Cross multiply
    288,107x = 422,817 × 422,817
  4. Step 4: Simplify right side
    288,107x = 178,774,215,489
  5. Step 5: Solve for x
    x = 178,774,215,489/288,107
  6. Step 6: Final answer
    x = 620,513.27

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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.