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Finding the Third Proportional to 135,365 and 199,123

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Solution

The third proportional to 135,365 and 199,123 is: 292,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,365 : 199,123 = 199,123 : x
  2. Step 2: Convert to fraction form
    135,365/199,123 = 199,123/x
  3. Step 3: Cross multiply
    135,365x = 199,123 × 199,123
  4. Step 4: Simplify right side
    135,365x = 39,649,969,129
  5. Step 5: Solve for x
    x = 39,649,969,129/135,365
  6. Step 6: Final answer
    x = 292,911.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.