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Finding the Third Proportional to 144,915.75 and 311,261.06

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Solution

The third proportional to 144,915.75 and 311,261.06 is: 668,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,915.75 : 311,261.06 = 311,261.06 : x
  2. Step 2: Convert to fraction form
    144,915.75/311,261.06 = 311,261.06/x
  3. Step 3: Cross multiply
    144,915.75x = 311,261.06 × 311,261.06
  4. Step 4: Simplify right side
    144,915.75x = 96,883,449,028.63
  5. Step 5: Solve for x
    x = 96,883,449,028.63/144,915.75
  6. Step 6: Final answer
    x = 668,550.17

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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.