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Finding the Third Proportional to 422,390 and 859,453

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Solution

The third proportional to 422,390 and 859,453 is: 1,748,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,390 : 859,453 = 859,453 : x
  2. Step 2: Convert to fraction form
    422,390/859,453 = 859,453/x
  3. Step 3: Cross multiply
    422,390x = 859,453 × 859,453
  4. Step 4: Simplify right side
    422,390x = 738,659,459,209
  5. Step 5: Solve for x
    x = 738,659,459,209/422,390
  6. Step 6: Final answer
    x = 1,748,761.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.