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Finding the Third Proportional to 66,463 and 143,361

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Solution

The third proportional to 66,463 and 143,361 is: 309,230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,463 : 143,361 = 143,361 : x
  2. Step 2: Convert to fraction form
    66,463/143,361 = 143,361/x
  3. Step 3: Cross multiply
    66,463x = 143,361 × 143,361
  4. Step 4: Simplify right side
    66,463x = 20,552,376,321
  5. Step 5: Solve for x
    x = 20,552,376,321/66,463
  6. Step 6: Final answer
    x = 309,230.34

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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.