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Finding the Third Proportional to 345,606.75 and 494,218.13

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Solution

The third proportional to 345,606.75 and 494,218.13 is: 706,732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,606.75 : 494,218.13 = 494,218.13 : x
  2. Step 2: Convert to fraction form
    345,606.75/494,218.13 = 494,218.13/x
  3. Step 3: Cross multiply
    345,606.75x = 494,218.13 × 494,218.13
  4. Step 4: Simplify right side
    345,606.75x = 244,251,555,078.52
  5. Step 5: Solve for x
    x = 244,251,555,078.52/345,606.75
  6. Step 6: Final answer
    x = 706,732.59

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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.