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Finding the Third Proportional to 315,799.38 and 485,411.48

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Solution

The third proportional to 315,799.38 and 485,411.48 is: 746,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,799.38 : 485,411.48 = 485,411.48 : x
  2. Step 2: Convert to fraction form
    315,799.38/485,411.48 = 485,411.48/x
  3. Step 3: Cross multiply
    315,799.38x = 485,411.48 × 485,411.48
  4. Step 4: Simplify right side
    315,799.38x = 235,624,309,163.14
  5. Step 5: Solve for x
    x = 235,624,309,163.14/315,799.38
  6. Step 6: Final answer
    x = 746,120.23

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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.