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Finding the Third Proportional to 212,040 and 324,855

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Solution

The third proportional to 212,040 and 324,855 is: 497,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,040 : 324,855 = 324,855 : x
  2. Step 2: Convert to fraction form
    212,040/324,855 = 324,855/x
  3. Step 3: Cross multiply
    212,040x = 324,855 × 324,855
  4. Step 4: Simplify right side
    212,040x = 105,530,771,025
  5. Step 5: Solve for x
    x = 105,530,771,025/212,040
  6. Step 6: Final answer
    x = 497,692.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.