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Finding the Third Proportional to 310,857 and 494,311

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Solution

The third proportional to 310,857 and 494,311 is: 786,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,857 : 494,311 = 494,311 : x
  2. Step 2: Convert to fraction form
    310,857/494,311 = 494,311/x
  3. Step 3: Cross multiply
    310,857x = 494,311 × 494,311
  4. Step 4: Simplify right side
    310,857x = 244,343,364,721
  5. Step 5: Solve for x
    x = 244,343,364,721/310,857
  6. Step 6: Final answer
    x = 786,031.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.