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Finding the Third Proportional to 144,627.75 and 311,451.75

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Solution

The third proportional to 144,627.75 and 311,451.75 is: 670,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,627.75 : 311,451.75 = 311,451.75 : x
  2. Step 2: Convert to fraction form
    144,627.75/311,451.75 = 311,451.75/x
  3. Step 3: Cross multiply
    144,627.75x = 311,451.75 × 311,451.75
  4. Step 4: Simplify right side
    144,627.75x = 97,002,192,578.06
  5. Step 5: Solve for x
    x = 97,002,192,578.06/144,627.75
  6. Step 6: Final answer
    x = 670,702.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.