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Finding the Third Proportional to 305,863.50 and 672,235.50

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Solution

The third proportional to 305,863.50 and 672,235.50 is: 1,477,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,863.50 : 672,235.50 = 672,235.50 : x
  2. Step 2: Convert to fraction form
    305,863.50/672,235.50 = 672,235.50/x
  3. Step 3: Cross multiply
    305,863.50x = 672,235.50 × 672,235.50
  4. Step 4: Simplify right side
    305,863.50x = 451,900,567,460.25
  5. Step 5: Solve for x
    x = 451,900,567,460.25/305,863.50
  6. Step 6: Final answer
    x = 1,477,458.30

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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.