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Finding the Third Proportional to 140,256 and 197,280

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Solution

The third proportional to 140,256 and 197,280 is: 277,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,256 : 197,280 = 197,280 : x
  2. Step 2: Convert to fraction form
    140,256/197,280 = 197,280/x
  3. Step 3: Cross multiply
    140,256x = 197,280 × 197,280
  4. Step 4: Simplify right side
    140,256x = 38,919,398,400
  5. Step 5: Solve for x
    x = 38,919,398,400/140,256
  6. Step 6: Final answer
    x = 277,488.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.