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Finding the Third Proportional to 315,801.75 and 485,415.38

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Solution

The third proportional to 315,801.75 and 485,415.38 is: 746,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,801.75 : 485,415.38 = 485,415.38 : x
  2. Step 2: Convert to fraction form
    315,801.75/485,415.38 = 485,415.38/x
  3. Step 3: Cross multiply
    315,801.75x = 485,415.38 × 485,415.38
  4. Step 4: Simplify right side
    315,801.75x = 235,628,086,286.39
  5. Step 5: Solve for x
    x = 235,628,086,286.39/315,801.75
  6. Step 6: Final answer
    x = 746,126.60

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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.