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Finding the Third Proportional to 231,371 and 349,970

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Solution

The third proportional to 231,371 and 349,970 is: 529,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,371 : 349,970 = 349,970 : x
  2. Step 2: Convert to fraction form
    231,371/349,970 = 349,970/x
  3. Step 3: Cross multiply
    231,371x = 349,970 × 349,970
  4. Step 4: Simplify right side
    231,371x = 122,479,000,900
  5. Step 5: Solve for x
    x = 122,479,000,900/231,371
  6. Step 6: Final answer
    x = 529,361.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.