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Finding the Third Proportional to 66,194 and 143,863

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Solution

The third proportional to 66,194 and 143,863 is: 312,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,194 : 143,863 = 143,863 : x
  2. Step 2: Convert to fraction form
    66,194/143,863 = 143,863/x
  3. Step 3: Cross multiply
    66,194x = 143,863 × 143,863
  4. Step 4: Simplify right side
    66,194x = 20,696,562,769
  5. Step 5: Solve for x
    x = 20,696,562,769/66,194
  6. Step 6: Final answer
    x = 312,665.24

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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.