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Finding the Third Proportional to 66,133.50 and 142,721.25

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Solution

The third proportional to 66,133.50 and 142,721.25 is: 308,003.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,133.50 : 142,721.25 = 142,721.25 : x
  2. Step 2: Convert to fraction form
    66,133.50/142,721.25 = 142,721.25/x
  3. Step 3: Cross multiply
    66,133.50x = 142,721.25 × 142,721.25
  4. Step 4: Simplify right side
    66,133.50x = 20,369,355,201.56
  5. Step 5: Solve for x
    x = 20,369,355,201.56/66,133.50
  6. Step 6: Final answer
    x = 308,003.59

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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.