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Finding the Third Proportional to 558,610 and 1,214,420

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Solution

The third proportional to 558,610 and 1,214,420 is: 2,640,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,610 : 1,214,420 = 1,214,420 : x
  2. Step 2: Convert to fraction form
    558,610/1,214,420 = 1,214,420/x
  3. Step 3: Cross multiply
    558,610x = 1,214,420 × 1,214,420
  4. Step 4: Simplify right side
    558,610x = 1,474,815,936,400
  5. Step 5: Solve for x
    x = 1,474,815,936,400/558,610
  6. Step 6: Final answer
    x = 2,640,153.12

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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.