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Finding the Third Proportional to 558,917 and 790,099

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Solution

The third proportional to 558,917 and 790,099 is: 1,116,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,917 : 790,099 = 790,099 : x
  2. Step 2: Convert to fraction form
    558,917/790,099 = 790,099/x
  3. Step 3: Cross multiply
    558,917x = 790,099 × 790,099
  4. Step 4: Simplify right side
    558,917x = 624,256,429,801
  5. Step 5: Solve for x
    x = 624,256,429,801/558,917
  6. Step 6: Final answer
    x = 1,116,903.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.