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Finding the Third Proportional to 143,840 and 211,325

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Solution

The third proportional to 143,840 and 211,325 is: 310,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,840 : 211,325 = 211,325 : x
  2. Step 2: Convert to fraction form
    143,840/211,325 = 211,325/x
  3. Step 3: Cross multiply
    143,840x = 211,325 × 211,325
  4. Step 4: Simplify right side
    143,840x = 44,658,255,625
  5. Step 5: Solve for x
    x = 44,658,255,625/143,840
  6. Step 6: Final answer
    x = 310,471.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.