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Finding the Third Proportional to 74,250 and 154,620

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Solution

The third proportional to 74,250 and 154,620 is: 321,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,250 : 154,620 = 154,620 : x
  2. Step 2: Convert to fraction form
    74,250/154,620 = 154,620/x
  3. Step 3: Cross multiply
    74,250x = 154,620 × 154,620
  4. Step 4: Simplify right side
    74,250x = 23,907,344,400
  5. Step 5: Solve for x
    x = 23,907,344,400/74,250
  6. Step 6: Final answer
    x = 321,984.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.