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Finding the Third Proportional to 212,410 and 325,311

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Solution

The third proportional to 212,410 and 325,311 is: 498,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,410 : 325,311 = 325,311 : x
  2. Step 2: Convert to fraction form
    212,410/325,311 = 325,311/x
  3. Step 3: Cross multiply
    212,410x = 325,311 × 325,311
  4. Step 4: Simplify right side
    212,410x = 105,827,246,721
  5. Step 5: Solve for x
    x = 105,827,246,721/212,410
  6. Step 6: Final answer
    x = 498,221.58

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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.