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Finding the Third Proportional to 639,986 and 1,382,598

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Solution

The third proportional to 639,986 and 1,382,598 is: 2,986,904.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,986 : 1,382,598 = 1,382,598 : x
  2. Step 2: Convert to fraction form
    639,986/1,382,598 = 1,382,598/x
  3. Step 3: Cross multiply
    639,986x = 1,382,598 × 1,382,598
  4. Step 4: Simplify right side
    639,986x = 1,911,577,229,604
  5. Step 5: Solve for x
    x = 1,911,577,229,604/639,986
  6. Step 6: Final answer
    x = 2,986,904.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.