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Finding the Third Proportional to 197,538 and 313,803

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Solution

The third proportional to 197,538 and 313,803 is: 498,498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,538 : 313,803 = 313,803 : x
  2. Step 2: Convert to fraction form
    197,538/313,803 = 313,803/x
  3. Step 3: Cross multiply
    197,538x = 313,803 × 313,803
  4. Step 4: Simplify right side
    197,538x = 98,472,322,809
  5. Step 5: Solve for x
    x = 98,472,322,809/197,538
  6. Step 6: Final answer
    x = 498,498.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.