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Finding the Third Proportional to 66,939.75 and 144,900.56

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Solution

The third proportional to 66,939.75 and 144,900.56 is: 313,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,939.75 : 144,900.56 = 144,900.56 : x
  2. Step 2: Convert to fraction form
    66,939.75/144,900.56 = 144,900.56/x
  3. Step 3: Cross multiply
    66,939.75x = 144,900.56 × 144,900.56
  4. Step 4: Simplify right side
    66,939.75x = 20,996,173,012.82
  5. Step 5: Solve for x
    x = 20,996,173,012.82/66,939.75
  6. Step 6: Final answer
    x = 313,657.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.