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Finding the Third Proportional to 422,730 and 880,374

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Solution

The third proportional to 422,730 and 880,374 is: 1,833,459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,730 : 880,374 = 880,374 : x
  2. Step 2: Convert to fraction form
    422,730/880,374 = 880,374/x
  3. Step 3: Cross multiply
    422,730x = 880,374 × 880,374
  4. Step 4: Simplify right side
    422,730x = 775,058,379,876
  5. Step 5: Solve for x
    x = 775,058,379,876/422,730
  6. Step 6: Final answer
    x = 1,833,459.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.