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Finding the Third Proportional to 558,920 and 790,101

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Solution

The third proportional to 558,920 and 790,101 is: 1,116,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,920 : 790,101 = 790,101 : x
  2. Step 2: Convert to fraction form
    558,920/790,101 = 790,101/x
  3. Step 3: Cross multiply
    558,920x = 790,101 × 790,101
  4. Step 4: Simplify right side
    558,920x = 624,259,590,201
  5. Step 5: Solve for x
    x = 624,259,590,201/558,920
  6. Step 6: Final answer
    x = 1,116,903.30

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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.