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Finding the Third Proportional to 345,606 and 494,217

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Solution

The third proportional to 345,606 and 494,217 is: 706,730.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,606 : 494,217 = 494,217 : x
  2. Step 2: Convert to fraction form
    345,606/494,217 = 494,217/x
  3. Step 3: Cross multiply
    345,606x = 494,217 × 494,217
  4. Step 4: Simplify right side
    345,606x = 244,250,443,089
  5. Step 5: Solve for x
    x = 244,250,443,089/345,606
  6. Step 6: Final answer
    x = 706,730.91

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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.