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Finding the Third Proportional to 66,476 and 143,388

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Solution

The third proportional to 66,476 and 143,388 is: 309,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,476 : 143,388 = 143,388 : x
  2. Step 2: Convert to fraction form
    66,476/143,388 = 143,388/x
  3. Step 3: Cross multiply
    66,476x = 143,388 × 143,388
  4. Step 4: Simplify right side
    66,476x = 20,560,118,544
  5. Step 5: Solve for x
    x = 20,560,118,544/66,476
  6. Step 6: Final answer
    x = 309,286.34

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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.