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Finding the Third Proportional to 300,845.25 and 660,731.63

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Solution

The third proportional to 300,845.25 and 660,731.63 is: 1,451,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,845.25 : 660,731.63 = 660,731.63 : x
  2. Step 2: Convert to fraction form
    300,845.25/660,731.63 = 660,731.63/x
  3. Step 3: Cross multiply
    300,845.25x = 660,731.63 × 660,731.63
  4. Step 4: Simplify right side
    300,845.25x = 436,566,280,275.14
  5. Step 5: Solve for x
    x = 436,566,280,275.14/300,845.25
  6. Step 6: Final answer
    x = 1,451,132.37

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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.