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Finding the Third Proportional to 144,976.50 and 312,405.63

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Solution

The third proportional to 144,976.50 and 312,405.63 is: 673,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,976.50 : 312,405.63 = 312,405.63 : x
  2. Step 2: Convert to fraction form
    144,976.50/312,405.63 = 312,405.63/x
  3. Step 3: Cross multiply
    144,976.50x = 312,405.63 × 312,405.63
  4. Step 4: Simplify right side
    144,976.50x = 97,597,274,531.64
  5. Step 5: Solve for x
    x = 97,597,274,531.64/144,976.50
  6. Step 6: Final answer
    x = 673,193.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.