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Finding the Third Proportional to 190,670 and 280,497

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Solution

The third proportional to 190,670 and 280,497 is: 412,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,670 : 280,497 = 280,497 : x
  2. Step 2: Convert to fraction form
    190,670/280,497 = 280,497/x
  3. Step 3: Cross multiply
    190,670x = 280,497 × 280,497
  4. Step 4: Simplify right side
    190,670x = 78,678,567,009
  5. Step 5: Solve for x
    x = 78,678,567,009/190,670
  6. Step 6: Final answer
    x = 412,642.61

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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.