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Finding the Third Proportional to 345,630 and 494,253

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Solution

The third proportional to 345,630 and 494,253 is: 706,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,630 : 494,253 = 494,253 : x
  2. Step 2: Convert to fraction form
    345,630/494,253 = 494,253/x
  3. Step 3: Cross multiply
    345,630x = 494,253 × 494,253
  4. Step 4: Simplify right side
    345,630x = 244,286,028,009
  5. Step 5: Solve for x
    x = 244,286,028,009/345,630
  6. Step 6: Final answer
    x = 706,784.79

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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.