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Finding the Third Proportional to 133,509.38 and 200,290.50

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Solution

The third proportional to 133,509.38 and 200,290.50 is: 300,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,509.38 : 200,290.50 = 200,290.50 : x
  2. Step 2: Convert to fraction form
    133,509.38/200,290.50 = 200,290.50/x
  3. Step 3: Cross multiply
    133,509.38x = 200,290.50 × 200,290.50
  4. Step 4: Simplify right side
    133,509.38x = 40,116,284,390.25
  5. Step 5: Solve for x
    x = 40,116,284,390.25/133,509.38
  6. Step 6: Final answer
    x = 300,475.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.