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Finding the Third Proportional to 550,605 and 1,212,963

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Solution

The third proportional to 550,605 and 1,212,963 is: 2,672,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,605 : 1,212,963 = 1,212,963 : x
  2. Step 2: Convert to fraction form
    550,605/1,212,963 = 1,212,963/x
  3. Step 3: Cross multiply
    550,605x = 1,212,963 × 1,212,963
  4. Step 4: Simplify right side
    550,605x = 1,471,279,239,369
  5. Step 5: Solve for x
    x = 1,471,279,239,369/550,605
  6. Step 6: Final answer
    x = 2,672,113.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.