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Finding the Third Proportional to 212,465 and 319,193

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Solution

The third proportional to 212,465 and 319,193 is: 479,533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,465 : 319,193 = 319,193 : x
  2. Step 2: Convert to fraction form
    212,465/319,193 = 319,193/x
  3. Step 3: Cross multiply
    212,465x = 319,193 × 319,193
  4. Step 4: Simplify right side
    212,465x = 101,884,171,249
  5. Step 5: Solve for x
    x = 101,884,171,249/212,465
  6. Step 6: Final answer
    x = 479,533.91

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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.