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Finding the Third Proportional to 212,619 and 319,890

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Solution

The third proportional to 212,619 and 319,890 is: 481,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,619 : 319,890 = 319,890 : x
  2. Step 2: Convert to fraction form
    212,619/319,890 = 319,890/x
  3. Step 3: Cross multiply
    212,619x = 319,890 × 319,890
  4. Step 4: Simplify right side
    212,619x = 102,329,612,100
  5. Step 5: Solve for x
    x = 102,329,612,100/212,619
  6. Step 6: Final answer
    x = 481,281.60

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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.