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Finding the Third Proportional to 197,425 and 317,939.50

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Solution

The third proportional to 197,425 and 317,939.50 is: 512,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,425 : 317,939.50 = 317,939.50 : x
  2. Step 2: Convert to fraction form
    197,425/317,939.50 = 317,939.50/x
  3. Step 3: Cross multiply
    197,425x = 317,939.50 × 317,939.50
  4. Step 4: Simplify right side
    197,425x = 101,085,525,660.25
  5. Step 5: Solve for x
    x = 101,085,525,660.25/197,425
  6. Step 6: Final answer
    x = 512,019.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.