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Finding the Third Proportional to 143,901.56 and 312,255

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Solution

The third proportional to 143,901.56 and 312,255 is: 677,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,901.56 : 312,255 = 312,255 : x
  2. Step 2: Convert to fraction form
    143,901.56/312,255 = 312,255/x
  3. Step 3: Cross multiply
    143,901.56x = 312,255 × 312,255
  4. Step 4: Simplify right side
    143,901.56x = 97,503,185,025
  5. Step 5: Solve for x
    x = 97,503,185,025/143,901.56
  6. Step 6: Final answer
    x = 677,568.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.