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Finding the Third Proportional to 60,338 and 128,690

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Solution

The third proportional to 60,338 and 128,690 is: 274,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,338 : 128,690 = 128,690 : x
  2. Step 2: Convert to fraction form
    60,338/128,690 = 128,690/x
  3. Step 3: Cross multiply
    60,338x = 128,690 × 128,690
  4. Step 4: Simplify right side
    60,338x = 16,561,116,100
  5. Step 5: Solve for x
    x = 16,561,116,100/60,338
  6. Step 6: Final answer
    x = 274,472.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.