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Finding the Third Proportional to 66,168 and 144,231

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Solution

The third proportional to 66,168 and 144,231 is: 314,390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,168 : 144,231 = 144,231 : x
  2. Step 2: Convert to fraction form
    66,168/144,231 = 144,231/x
  3. Step 3: Cross multiply
    66,168x = 144,231 × 144,231
  4. Step 4: Simplify right side
    66,168x = 20,802,581,361
  5. Step 5: Solve for x
    x = 20,802,581,361/66,168
  6. Step 6: Final answer
    x = 314,390.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.