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Finding the Third Proportional to 612,418.13 and 919,238.25

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Solution

The third proportional to 612,418.13 and 919,238.25 is: 1,379,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,418.13 : 919,238.25 = 919,238.25 : x
  2. Step 2: Convert to fraction form
    612,418.13/919,238.25 = 919,238.25/x
  3. Step 3: Cross multiply
    612,418.13x = 919,238.25 × 919,238.25
  4. Step 4: Simplify right side
    612,418.13x = 844,998,960,263.06
  5. Step 5: Solve for x
    x = 844,998,960,263.06/612,418.13
  6. Step 6: Final answer
    x = 1,379,774.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.