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Finding the Third Proportional to 197,971.50 and 318,747

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Solution

The third proportional to 197,971.50 and 318,747 is: 513,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,971.50 : 318,747 = 318,747 : x
  2. Step 2: Convert to fraction form
    197,971.50/318,747 = 318,747/x
  3. Step 3: Cross multiply
    197,971.50x = 318,747 × 318,747
  4. Step 4: Simplify right side
    197,971.50x = 101,599,650,009
  5. Step 5: Solve for x
    x = 101,599,650,009/197,971.50
  6. Step 6: Final answer
    x = 513,203.42

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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.