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Finding the Third Proportional to 140,328 and 310,200

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Solution

The third proportional to 140,328 and 310,200 is: 685,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,328 : 310,200 = 310,200 : x
  2. Step 2: Convert to fraction form
    140,328/310,200 = 310,200/x
  3. Step 3: Cross multiply
    140,328x = 310,200 × 310,200
  4. Step 4: Simplify right side
    140,328x = 96,224,040,000
  5. Step 5: Solve for x
    x = 96,224,040,000/140,328
  6. Step 6: Final answer
    x = 685,708.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.