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Finding the Third Proportional to 66,303 and 143,194

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Solution

The third proportional to 66,303 and 143,194 is: 309,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,303 : 143,194 = 143,194 : x
  2. Step 2: Convert to fraction form
    66,303/143,194 = 143,194/x
  3. Step 3: Cross multiply
    66,303x = 143,194 × 143,194
  4. Step 4: Simplify right side
    66,303x = 20,504,521,636
  5. Step 5: Solve for x
    x = 20,504,521,636/66,303
  6. Step 6: Final answer
    x = 309,254.81

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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.