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Finding the Third Proportional to 212,848 and 317,425

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Solution

The third proportional to 212,848 and 317,425 is: 473,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,848 : 317,425 = 317,425 : x
  2. Step 2: Convert to fraction form
    212,848/317,425 = 317,425/x
  3. Step 3: Cross multiply
    212,848x = 317,425 × 317,425
  4. Step 4: Simplify right side
    212,848x = 100,758,630,625
  5. Step 5: Solve for x
    x = 100,758,630,625/212,848
  6. Step 6: Final answer
    x = 473,383.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.