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Finding the Third Proportional to 140,044 and 209,576

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Solution

The third proportional to 140,044 and 209,576 is: 313,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,044 : 209,576 = 209,576 : x
  2. Step 2: Convert to fraction form
    140,044/209,576 = 209,576/x
  3. Step 3: Cross multiply
    140,044x = 209,576 × 209,576
  4. Step 4: Simplify right side
    140,044x = 43,922,099,776
  5. Step 5: Solve for x
    x = 43,922,099,776/140,044
  6. Step 6: Final answer
    x = 313,630.71

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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.