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Finding the Third Proportional to 100,146 and 154,634.25

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Solution

The third proportional to 100,146 and 154,634.25 is: 238,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,146 : 154,634.25 = 154,634.25 : x
  2. Step 2: Convert to fraction form
    100,146/154,634.25 = 154,634.25/x
  3. Step 3: Cross multiply
    100,146x = 154,634.25 × 154,634.25
  4. Step 4: Simplify right side
    100,146x = 23,911,751,273.06
  5. Step 5: Solve for x
    x = 23,911,751,273.06/100,146
  6. Step 6: Final answer
    x = 238,768.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.