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Finding the Third Proportional to 130,936.50 and 200,208.38

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Solution

The third proportional to 130,936.50 and 200,208.38 is: 306,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,936.50 : 200,208.38 = 200,208.38 : x
  2. Step 2: Convert to fraction form
    130,936.50/200,208.38 = 200,208.38/x
  3. Step 3: Cross multiply
    130,936.50x = 200,208.38 × 200,208.38
  4. Step 4: Simplify right side
    130,936.50x = 40,083,393,420.14
  5. Step 5: Solve for x
    x = 40,083,393,420.14/130,936.50
  6. Step 6: Final answer
    x = 306,128.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.