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Finding the Third Proportional to 154,041.75 and 206,043.75

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Solution

The third proportional to 154,041.75 and 206,043.75 is: 275,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,041.75 : 206,043.75 = 206,043.75 : x
  2. Step 2: Convert to fraction form
    154,041.75/206,043.75 = 206,043.75/x
  3. Step 3: Cross multiply
    154,041.75x = 206,043.75 × 206,043.75
  4. Step 4: Simplify right side
    154,041.75x = 42,454,026,914.06
  5. Step 5: Solve for x
    x = 42,454,026,914.06/154,041.75
  6. Step 6: Final answer
    x = 275,600.78

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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.