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Finding the Third Proportional to 214,434 and 315,231

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Solution

The third proportional to 214,434 and 315,231 is: 463,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,434 : 315,231 = 315,231 : x
  2. Step 2: Convert to fraction form
    214,434/315,231 = 315,231/x
  3. Step 3: Cross multiply
    214,434x = 315,231 × 315,231
  4. Step 4: Simplify right side
    214,434x = 99,370,583,361
  5. Step 5: Solve for x
    x = 99,370,583,361/214,434
  6. Step 6: Final answer
    x = 463,408.71

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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.