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Finding the Third Proportional to 189,786 and 284,580

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Solution

The third proportional to 189,786 and 284,580 is: 426,721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,786 : 284,580 = 284,580 : x
  2. Step 2: Convert to fraction form
    189,786/284,580 = 284,580/x
  3. Step 3: Cross multiply
    189,786x = 284,580 × 284,580
  4. Step 4: Simplify right side
    189,786x = 80,985,776,400
  5. Step 5: Solve for x
    x = 80,985,776,400/189,786
  6. Step 6: Final answer
    x = 426,721.55

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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.