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Finding the Third Proportional to 197,211 and 300,730.50

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Solution

The third proportional to 197,211 and 300,730.50 is: 458,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,211 : 300,730.50 = 300,730.50 : x
  2. Step 2: Convert to fraction form
    197,211/300,730.50 = 300,730.50/x
  3. Step 3: Cross multiply
    197,211x = 300,730.50 × 300,730.50
  4. Step 4: Simplify right side
    197,211x = 90,438,833,630.25
  5. Step 5: Solve for x
    x = 90,438,833,630.25/197,211
  6. Step 6: Final answer
    x = 458,589.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.