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Finding the Third Proportional to 677,548 and 1,338,080

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Solution

The third proportional to 677,548 and 1,338,080 is: 2,642,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,548 : 1,338,080 = 1,338,080 : x
  2. Step 2: Convert to fraction form
    677,548/1,338,080 = 1,338,080/x
  3. Step 3: Cross multiply
    677,548x = 1,338,080 × 1,338,080
  4. Step 4: Simplify right side
    677,548x = 1,790,458,086,400
  5. Step 5: Solve for x
    x = 1,790,458,086,400/677,548
  6. Step 6: Final answer
    x = 2,642,555.34

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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.