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Finding the Third Proportional to 344,738 and 505,747

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Solution

The third proportional to 344,738 and 505,747 is: 741,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,738 : 505,747 = 505,747 : x
  2. Step 2: Convert to fraction form
    344,738/505,747 = 505,747/x
  3. Step 3: Cross multiply
    344,738x = 505,747 × 505,747
  4. Step 4: Simplify right side
    344,738x = 255,780,028,009
  5. Step 5: Solve for x
    x = 255,780,028,009/344,738
  6. Step 6: Final answer
    x = 741,954.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.