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Finding the Third Proportional to 558,609 and 1,214,418

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Solution

The third proportional to 558,609 and 1,214,418 is: 2,640,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,609 : 1,214,418 = 1,214,418 : x
  2. Step 2: Convert to fraction form
    558,609/1,214,418 = 1,214,418/x
  3. Step 3: Cross multiply
    558,609x = 1,214,418 × 1,214,418
  4. Step 4: Simplify right side
    558,609x = 1,474,811,078,724
  5. Step 5: Solve for x
    x = 1,474,811,078,724/558,609
  6. Step 6: Final answer
    x = 2,640,149.15

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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.