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Finding the Third Proportional to 140,122 and 210,323

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Solution

The third proportional to 140,122 and 210,323 is: 315,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,122 : 210,323 = 210,323 : x
  2. Step 2: Convert to fraction form
    140,122/210,323 = 210,323/x
  3. Step 3: Cross multiply
    140,122x = 210,323 × 210,323
  4. Step 4: Simplify right side
    140,122x = 44,235,764,329
  5. Step 5: Solve for x
    x = 44,235,764,329/140,122
  6. Step 6: Final answer
    x = 315,694.64

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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.