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Finding the Third Proportional to 104,690 and 149,531

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Solution

The third proportional to 104,690 and 149,531 is: 213,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,690 : 149,531 = 149,531 : x
  2. Step 2: Convert to fraction form
    104,690/149,531 = 149,531/x
  3. Step 3: Cross multiply
    104,690x = 149,531 × 149,531
  4. Step 4: Simplify right side
    104,690x = 22,359,519,961
  5. Step 5: Solve for x
    x = 22,359,519,961/104,690
  6. Step 6: Final answer
    x = 213,578.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.