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Finding the Third Proportional to 351,310 and 770,900

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Solution

The third proportional to 351,310 and 770,900 is: 1,691,630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,310 : 770,900 = 770,900 : x
  2. Step 2: Convert to fraction form
    351,310/770,900 = 770,900/x
  3. Step 3: Cross multiply
    351,310x = 770,900 × 770,900
  4. Step 4: Simplify right side
    351,310x = 594,286,810,000
  5. Step 5: Solve for x
    x = 594,286,810,000/351,310
  6. Step 6: Final answer
    x = 1,691,630.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.