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Finding the Third Proportional to 310,740 and 676,837

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Solution

The third proportional to 310,740 and 676,837 is: 1,474,249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,740 : 676,837 = 676,837 : x
  2. Step 2: Convert to fraction form
    310,740/676,837 = 676,837/x
  3. Step 3: Cross multiply
    310,740x = 676,837 × 676,837
  4. Step 4: Simplify right side
    310,740x = 458,108,324,569
  5. Step 5: Solve for x
    x = 458,108,324,569/310,740
  6. Step 6: Final answer
    x = 1,474,249.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.