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Finding the Third Proportional to 305,378.25 and 475,517.25

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Solution

The third proportional to 305,378.25 and 475,517.25 is: 740,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,378.25 : 475,517.25 = 475,517.25 : x
  2. Step 2: Convert to fraction form
    305,378.25/475,517.25 = 475,517.25/x
  3. Step 3: Cross multiply
    305,378.25x = 475,517.25 × 475,517.25
  4. Step 4: Simplify right side
    305,378.25x = 226,116,655,047.56
  5. Step 5: Solve for x
    x = 226,116,655,047.56/305,378.25
  6. Step 6: Final answer
    x = 740,447.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.