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Finding the Third Proportional to 190,668 and 280,494

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Solution

The third proportional to 190,668 and 280,494 is: 412,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,668 : 280,494 = 280,494 : x
  2. Step 2: Convert to fraction form
    190,668/280,494 = 280,494/x
  3. Step 3: Cross multiply
    190,668x = 280,494 × 280,494
  4. Step 4: Simplify right side
    190,668x = 78,676,884,036
  5. Step 5: Solve for x
    x = 78,676,884,036/190,668
  6. Step 6: Final answer
    x = 412,638.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.