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Finding the Third Proportional to 189,231 and 284,643

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Solution

The third proportional to 189,231 and 284,643 is: 428,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,231 : 284,643 = 284,643 : x
  2. Step 2: Convert to fraction form
    189,231/284,643 = 284,643/x
  3. Step 3: Cross multiply
    189,231x = 284,643 × 284,643
  4. Step 4: Simplify right side
    189,231x = 81,021,637,449
  5. Step 5: Solve for x
    x = 81,021,637,449/189,231
  6. Step 6: Final answer
    x = 428,162.60

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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.