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Finding the Third Proportional to 154,491.50 and 206,920.50

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Solution

The third proportional to 154,491.50 and 206,920.50 is: 277,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,491.50 : 206,920.50 = 206,920.50 : x
  2. Step 2: Convert to fraction form
    154,491.50/206,920.50 = 206,920.50/x
  3. Step 3: Cross multiply
    154,491.50x = 206,920.50 × 206,920.50
  4. Step 4: Simplify right side
    154,491.50x = 42,816,093,320.25
  5. Step 5: Solve for x
    x = 42,816,093,320.25/154,491.50
  6. Step 6: Final answer
    x = 277,142.06

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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.