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Finding the Third Proportional to 212,998 and 323,385

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Solution

The third proportional to 212,998 and 323,385 is: 490,980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,998 : 323,385 = 323,385 : x
  2. Step 2: Convert to fraction form
    212,998/323,385 = 323,385/x
  3. Step 3: Cross multiply
    212,998x = 323,385 × 323,385
  4. Step 4: Simplify right side
    212,998x = 104,577,858,225
  5. Step 5: Solve for x
    x = 104,577,858,225/212,998
  6. Step 6: Final answer
    x = 490,980.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.