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Finding the Third Proportional to 345,610 and 494,223

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Solution

The third proportional to 345,610 and 494,223 is: 706,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,610 : 494,223 = 494,223 : x
  2. Step 2: Convert to fraction form
    345,610/494,223 = 494,223/x
  3. Step 3: Cross multiply
    345,610x = 494,223 × 494,223
  4. Step 4: Simplify right side
    345,610x = 244,256,373,729
  5. Step 5: Solve for x
    x = 244,256,373,729/345,610
  6. Step 6: Final answer
    x = 706,739.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.