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Finding the Third Proportional to 66,774.38 and 136,021.50

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Solution

The third proportional to 66,774.38 and 136,021.50 is: 277,080.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,774.38 : 136,021.50 = 136,021.50 : x
  2. Step 2: Convert to fraction form
    66,774.38/136,021.50 = 136,021.50/x
  3. Step 3: Cross multiply
    66,774.38x = 136,021.50 × 136,021.50
  4. Step 4: Simplify right side
    66,774.38x = 18,501,848,462.25
  5. Step 5: Solve for x
    x = 18,501,848,462.25/66,774.38
  6. Step 6: Final answer
    x = 277,080.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.