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Finding the Third Proportional to 66,493.25 and 144,289.75

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Solution

The third proportional to 66,493.25 and 144,289.75 is: 313,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,493.25 : 144,289.75 = 144,289.75 : x
  2. Step 2: Convert to fraction form
    66,493.25/144,289.75 = 144,289.75/x
  3. Step 3: Cross multiply
    66,493.25x = 144,289.75 × 144,289.75
  4. Step 4: Simplify right side
    66,493.25x = 20,819,531,955.06
  5. Step 5: Solve for x
    x = 20,819,531,955.06/66,493.25
  6. Step 6: Final answer
    x = 313,107.45

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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.