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Finding the Third Proportional to 189,894 and 285,456

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Solution

The third proportional to 189,894 and 285,456 is: 429,108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,894 : 285,456 = 285,456 : x
  2. Step 2: Convert to fraction form
    189,894/285,456 = 285,456/x
  3. Step 3: Cross multiply
    189,894x = 285,456 × 285,456
  4. Step 4: Simplify right side
    189,894x = 81,485,127,936
  5. Step 5: Solve for x
    x = 81,485,127,936/189,894
  6. Step 6: Final answer
    x = 429,108.49

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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.