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Finding the Third Proportional to 66,273.19 and 136,054.69

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Solution

The third proportional to 66,273.19 and 136,054.69 is: 279,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,273.19 : 136,054.69 = 136,054.69 : x
  2. Step 2: Convert to fraction form
    66,273.19/136,054.69 = 136,054.69/x
  3. Step 3: Cross multiply
    66,273.19x = 136,054.69 × 136,054.69
  4. Step 4: Simplify right side
    66,273.19x = 18,510,877,990.72
  5. Step 5: Solve for x
    x = 18,510,877,990.72/66,273.19
  6. Step 6: Final answer
    x = 279,311.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.