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Finding the Third Proportional to 315,809.44 and 485,428.22

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Solution

The third proportional to 315,809.44 and 485,428.22 is: 746,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,809.44 : 485,428.22 = 485,428.22 : x
  2. Step 2: Convert to fraction form
    315,809.44/485,428.22 = 485,428.22/x
  3. Step 3: Cross multiply
    315,809.44x = 485,428.22 × 485,428.22
  4. Step 4: Simplify right side
    315,809.44x = 235,640,555,558.80
  5. Step 5: Solve for x
    x = 235,640,555,558.80/315,809.44
  6. Step 6: Final answer
    x = 746,147.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.