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Finding the Third Proportional to 140,360 and 311,824

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Solution

The third proportional to 140,360 and 311,824 is: 692,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,360 : 311,824 = 311,824 : x
  2. Step 2: Convert to fraction form
    140,360/311,824 = 311,824/x
  3. Step 3: Cross multiply
    140,360x = 311,824 × 311,824
  4. Step 4: Simplify right side
    140,360x = 97,234,206,976
  5. Step 5: Solve for x
    x = 97,234,206,976/140,360
  6. Step 6: Final answer
    x = 692,748.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.