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Finding the Third Proportional to 315,799.80 and 485,412.12

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Solution

The third proportional to 315,799.80 and 485,412.12 is: 746,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,799.80 : 485,412.12 = 485,412.12 : x
  2. Step 2: Convert to fraction form
    315,799.80/485,412.12 = 485,412.12/x
  3. Step 3: Cross multiply
    315,799.80x = 485,412.12 × 485,412.12
  4. Step 4: Simplify right side
    315,799.80x = 235,624,923,512.45
  5. Step 5: Solve for x
    x = 235,624,923,512.45/315,799.80
  6. Step 6: Final answer
    x = 746,121.18

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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.