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Finding the Third Proportional to 197,388 and 299,774

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Solution

The third proportional to 197,388 and 299,774 is: 455,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,388 : 299,774 = 299,774 : x
  2. Step 2: Convert to fraction form
    197,388/299,774 = 299,774/x
  3. Step 3: Cross multiply
    197,388x = 299,774 × 299,774
  4. Step 4: Simplify right side
    197,388x = 89,864,451,076
  5. Step 5: Solve for x
    x = 89,864,451,076/197,388
  6. Step 6: Final answer
    x = 455,268.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.