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Finding the Third Proportional to 129,889 and 200,305.50

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Solution

The third proportional to 129,889 and 200,305.50 is: 308,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,889 : 200,305.50 = 200,305.50 : x
  2. Step 2: Convert to fraction form
    129,889/200,305.50 = 200,305.50/x
  3. Step 3: Cross multiply
    129,889x = 200,305.50 × 200,305.50
  4. Step 4: Simplify right side
    129,889x = 40,122,293,330.25
  5. Step 5: Solve for x
    x = 40,122,293,330.25/129,889
  6. Step 6: Final answer
    x = 308,896.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.