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Finding the Third Proportional to 678,740 and 1,340,347

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Solution

The third proportional to 678,740 and 1,340,347 is: 2,646,860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,740 : 1,340,347 = 1,340,347 : x
  2. Step 2: Convert to fraction form
    678,740/1,340,347 = 1,340,347/x
  3. Step 3: Cross multiply
    678,740x = 1,340,347 × 1,340,347
  4. Step 4: Simplify right side
    678,740x = 1,796,530,080,409
  5. Step 5: Solve for x
    x = 1,796,530,080,409/678,740
  6. Step 6: Final answer
    x = 2,646,860.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.