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Finding the Third Proportional to 136,264.78 and 209,163.94

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Solution

The third proportional to 136,264.78 and 209,163.94 is: 321,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,264.78 : 209,163.94 = 209,163.94 : x
  2. Step 2: Convert to fraction form
    136,264.78/209,163.94 = 209,163.94/x
  3. Step 3: Cross multiply
    136,264.78x = 209,163.94 × 209,163.94
  4. Step 4: Simplify right side
    136,264.78x = 43,749,552,750.50
  5. Step 5: Solve for x
    x = 43,749,552,750.50/136,264.78
  6. Step 6: Final answer
    x = 321,062.80

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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.