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Finding the Third Proportional to 140,972 and 203,678

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Solution

The third proportional to 140,972 and 203,678 is: 294,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,972 : 203,678 = 203,678 : x
  2. Step 2: Convert to fraction form
    140,972/203,678 = 203,678/x
  3. Step 3: Cross multiply
    140,972x = 203,678 × 203,678
  4. Step 4: Simplify right side
    140,972x = 41,484,727,684
  5. Step 5: Solve for x
    x = 41,484,727,684/140,972
  6. Step 6: Final answer
    x = 294,276.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.