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Finding the Third Proportional to 189,212 and 284,614

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Solution

The third proportional to 189,212 and 284,614 is: 428,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,212 : 284,614 = 284,614 : x
  2. Step 2: Convert to fraction form
    189,212/284,614 = 284,614/x
  3. Step 3: Cross multiply
    189,212x = 284,614 × 284,614
  4. Step 4: Simplify right side
    189,212x = 81,005,128,996
  5. Step 5: Solve for x
    x = 81,005,128,996/189,212
  6. Step 6: Final answer
    x = 428,118.35

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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.