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Finding the Third Proportional to 305,605.50 and 672,129

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Solution

The third proportional to 305,605.50 and 672,129 is: 1,478,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,605.50 : 672,129 = 672,129 : x
  2. Step 2: Convert to fraction form
    305,605.50/672,129 = 672,129/x
  3. Step 3: Cross multiply
    305,605.50x = 672,129 × 672,129
  4. Step 4: Simplify right side
    305,605.50x = 451,757,392,641
  5. Step 5: Solve for x
    x = 451,757,392,641/305,605.50
  6. Step 6: Final answer
    x = 1,478,237.11

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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.