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Finding the Third Proportional to 305,635.50 and 671,778

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Solution

The third proportional to 305,635.50 and 671,778 is: 1,476,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,635.50 : 671,778 = 671,778 : x
  2. Step 2: Convert to fraction form
    305,635.50/671,778 = 671,778/x
  3. Step 3: Cross multiply
    305,635.50x = 671,778 × 671,778
  4. Step 4: Simplify right side
    305,635.50x = 451,285,681,284
  5. Step 5: Solve for x
    x = 451,285,681,284/305,635.50
  6. Step 6: Final answer
    x = 1,476,548.64

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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.