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Finding the Third Proportional to 277,551.56 and 605,221.88

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Solution

The third proportional to 277,551.56 and 605,221.88 is: 1,319,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,551.56 : 605,221.88 = 605,221.88 : x
  2. Step 2: Convert to fraction form
    277,551.56/605,221.88 = 605,221.88/x
  3. Step 3: Cross multiply
    277,551.56x = 605,221.88 × 605,221.88
  4. Step 4: Simplify right side
    277,551.56x = 366,293,517,978.52
  5. Step 5: Solve for x
    x = 366,293,517,978.52/277,551.56
  6. Step 6: Final answer
    x = 1,319,731.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.