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Finding the Third Proportional to 212,851 and 320,170

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Solution

The third proportional to 212,851 and 320,170 is: 481,599.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,851 : 320,170 = 320,170 : x
  2. Step 2: Convert to fraction form
    212,851/320,170 = 320,170/x
  3. Step 3: Cross multiply
    212,851x = 320,170 × 320,170
  4. Step 4: Simplify right side
    212,851x = 102,508,828,900
  5. Step 5: Solve for x
    x = 102,508,828,900/212,851
  6. Step 6: Final answer
    x = 481,599.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.