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Finding the Third Proportional to 100,646 and 154,128

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Solution

The third proportional to 100,646 and 154,128 is: 236,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,646 : 154,128 = 154,128 : x
  2. Step 2: Convert to fraction form
    100,646/154,128 = 154,128/x
  3. Step 3: Cross multiply
    100,646x = 154,128 × 154,128
  4. Step 4: Simplify right side
    100,646x = 23,755,440,384
  5. Step 5: Solve for x
    x = 23,755,440,384/100,646
  6. Step 6: Final answer
    x = 236,029.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.