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Finding the Third Proportional to 103,198 and 210,769.50

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Solution

The third proportional to 103,198 and 210,769.50 is: 430,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,198 : 210,769.50 = 210,769.50 : x
  2. Step 2: Convert to fraction form
    103,198/210,769.50 = 210,769.50/x
  3. Step 3: Cross multiply
    103,198x = 210,769.50 × 210,769.50
  4. Step 4: Simplify right side
    103,198x = 44,423,782,130.25
  5. Step 5: Solve for x
    x = 44,423,782,130.25/103,198
  6. Step 6: Final answer
    x = 430,471.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.