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Finding the Third Proportional to 272,338 and 414,268

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Solution

The third proportional to 272,338 and 414,268 is: 630,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,338 : 414,268 = 414,268 : x
  2. Step 2: Convert to fraction form
    272,338/414,268 = 414,268/x
  3. Step 3: Cross multiply
    272,338x = 414,268 × 414,268
  4. Step 4: Simplify right side
    272,338x = 171,617,975,824
  5. Step 5: Solve for x
    x = 171,617,975,824/272,338
  6. Step 6: Final answer
    x = 630,165.37

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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.