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Finding the Third Proportional to 558,061 and 1,211,257

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Solution

The third proportional to 558,061 and 1,211,257 is: 2,629,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,061 : 1,211,257 = 1,211,257 : x
  2. Step 2: Convert to fraction form
    558,061/1,211,257 = 1,211,257/x
  3. Step 3: Cross multiply
    558,061x = 1,211,257 × 1,211,257
  4. Step 4: Simplify right side
    558,061x = 1,467,143,520,049
  5. Step 5: Solve for x
    x = 1,467,143,520,049/558,061
  6. Step 6: Final answer
    x = 2,629,002.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.