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Finding the Third Proportional to 295,980 and 451,356

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Solution

The third proportional to 295,980 and 451,356 is: 688,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,980 : 451,356 = 451,356 : x
  2. Step 2: Convert to fraction form
    295,980/451,356 = 451,356/x
  3. Step 3: Cross multiply
    295,980x = 451,356 × 451,356
  4. Step 4: Simplify right side
    295,980x = 203,722,238,736
  5. Step 5: Solve for x
    x = 203,722,238,736/295,980
  6. Step 6: Final answer
    x = 688,297.31

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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.