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Finding the Third Proportional to 154,021.50 and 206,023.50

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Solution

The third proportional to 154,021.50 and 206,023.50 is: 275,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,021.50 : 206,023.50 = 206,023.50 : x
  2. Step 2: Convert to fraction form
    154,021.50/206,023.50 = 206,023.50/x
  3. Step 3: Cross multiply
    154,021.50x = 206,023.50 × 206,023.50
  4. Step 4: Simplify right side
    154,021.50x = 42,445,682,552.25
  5. Step 5: Solve for x
    x = 42,445,682,552.25/154,021.50
  6. Step 6: Final answer
    x = 275,582.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.