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Finding the Third Proportional to 66,831 and 144,570

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Solution

The third proportional to 66,831 and 144,570 is: 312,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,831 : 144,570 = 144,570 : x
  2. Step 2: Convert to fraction form
    66,831/144,570 = 144,570/x
  3. Step 3: Cross multiply
    66,831x = 144,570 × 144,570
  4. Step 4: Simplify right side
    66,831x = 20,900,484,900
  5. Step 5: Solve for x
    x = 20,900,484,900/66,831
  6. Step 6: Final answer
    x = 312,736.38

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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.