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Finding the Third Proportional to 326,540 and 692,743

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Solution

The third proportional to 326,540 and 692,743 is: 1,469,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,540 : 692,743 = 692,743 : x
  2. Step 2: Convert to fraction form
    326,540/692,743 = 692,743/x
  3. Step 3: Cross multiply
    326,540x = 692,743 × 692,743
  4. Step 4: Simplify right side
    326,540x = 479,892,864,049
  5. Step 5: Solve for x
    x = 479,892,864,049/326,540
  6. Step 6: Final answer
    x = 1,469,629.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.