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Finding the Third Proportional to 345,634 and 494,259

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Solution

The third proportional to 345,634 and 494,259 is: 706,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,634 : 494,259 = 494,259 : x
  2. Step 2: Convert to fraction form
    345,634/494,259 = 494,259/x
  3. Step 3: Cross multiply
    345,634x = 494,259 × 494,259
  4. Step 4: Simplify right side
    345,634x = 244,291,959,081
  5. Step 5: Solve for x
    x = 244,291,959,081/345,634
  6. Step 6: Final answer
    x = 706,793.77

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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.