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Finding the Third Proportional to 340,947 and 717,840

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Solution

The third proportional to 340,947 and 717,840 is: 1,511,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,947 : 717,840 = 717,840 : x
  2. Step 2: Convert to fraction form
    340,947/717,840 = 717,840/x
  3. Step 3: Cross multiply
    340,947x = 717,840 × 717,840
  4. Step 4: Simplify right side
    340,947x = 515,294,265,600
  5. Step 5: Solve for x
    x = 515,294,265,600/340,947
  6. Step 6: Final answer
    x = 1,511,361.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.