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Finding the Third Proportional to 179,774 and 390,923

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Solution

The third proportional to 179,774 and 390,923 is: 850,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,774 : 390,923 = 390,923 : x
  2. Step 2: Convert to fraction form
    179,774/390,923 = 390,923/x
  3. Step 3: Cross multiply
    179,774x = 390,923 × 390,923
  4. Step 4: Simplify right side
    179,774x = 152,820,791,929
  5. Step 5: Solve for x
    x = 152,820,791,929/179,774
  6. Step 6: Final answer
    x = 850,071.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.