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Finding the Third Proportional to 189,490 and 273,758

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Solution

The third proportional to 189,490 and 273,758 is: 395,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,490 : 273,758 = 273,758 : x
  2. Step 2: Convert to fraction form
    189,490/273,758 = 273,758/x
  3. Step 3: Cross multiply
    189,490x = 273,758 × 273,758
  4. Step 4: Simplify right side
    189,490x = 74,943,442,564
  5. Step 5: Solve for x
    x = 74,943,442,564/189,490
  6. Step 6: Final answer
    x = 395,500.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.