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Finding the Third Proportional to 133,771.50 and 208,038.38

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Solution

The third proportional to 133,771.50 and 208,038.38 is: 323,536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,771.50 : 208,038.38 = 208,038.38 : x
  2. Step 2: Convert to fraction form
    133,771.50/208,038.38 = 208,038.38/x
  3. Step 3: Cross multiply
    133,771.50x = 208,038.38 × 208,038.38
  4. Step 4: Simplify right side
    133,771.50x = 43,279,965,472.64
  5. Step 5: Solve for x
    x = 43,279,965,472.64/133,771.50
  6. Step 6: Final answer
    x = 323,536.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.