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Finding the Third Proportional to 178,168 and 273,972

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Solution

The third proportional to 178,168 and 273,972 is: 421,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,168 : 273,972 = 273,972 : x
  2. Step 2: Convert to fraction form
    178,168/273,972 = 273,972/x
  3. Step 3: Cross multiply
    178,168x = 273,972 × 273,972
  4. Step 4: Simplify right side
    178,168x = 75,060,656,784
  5. Step 5: Solve for x
    x = 75,060,656,784/178,168
  6. Step 6: Final answer
    x = 421,291.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.