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Finding the Third Proportional to 154,728 and 208,764

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Solution

The third proportional to 154,728 and 208,764 is: 281,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,728 : 208,764 = 208,764 : x
  2. Step 2: Convert to fraction form
    154,728/208,764 = 208,764/x
  3. Step 3: Cross multiply
    154,728x = 208,764 × 208,764
  4. Step 4: Simplify right side
    154,728x = 43,582,407,696
  5. Step 5: Solve for x
    x = 43,582,407,696/154,728
  6. Step 6: Final answer
    x = 281,671.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.