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Finding the Third Proportional to 133,103.25 and 199,715.63

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Solution

The third proportional to 133,103.25 and 199,715.63 is: 299,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,103.25 : 199,715.63 = 199,715.63 : x
  2. Step 2: Convert to fraction form
    133,103.25/199,715.63 = 199,715.63/x
  3. Step 3: Cross multiply
    133,103.25x = 199,715.63 × 199,715.63
  4. Step 4: Simplify right side
    133,103.25x = 39,886,330,869.14
  5. Step 5: Solve for x
    x = 39,886,330,869.14/133,103.25
  6. Step 6: Final answer
    x = 299,664.59

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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.