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Finding the Third Proportional to 189,664 and 280,243

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Solution

The third proportional to 189,664 and 280,243 is: 414,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,664 : 280,243 = 280,243 : x
  2. Step 2: Convert to fraction form
    189,664/280,243 = 280,243/x
  3. Step 3: Cross multiply
    189,664x = 280,243 × 280,243
  4. Step 4: Simplify right side
    189,664x = 78,536,139,049
  5. Step 5: Solve for x
    x = 78,536,139,049/189,664
  6. Step 6: Final answer
    x = 414,080.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.