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Finding the Third Proportional to 231,372 and 349,972

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Solution

The third proportional to 231,372 and 349,972 is: 529,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,372 : 349,972 = 349,972 : x
  2. Step 2: Convert to fraction form
    231,372/349,972 = 349,972/x
  3. Step 3: Cross multiply
    231,372x = 349,972 × 349,972
  4. Step 4: Simplify right side
    231,372x = 122,480,400,784
  5. Step 5: Solve for x
    x = 122,480,400,784/231,372
  6. Step 6: Final answer
    x = 529,365.70

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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.