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Finding the Third Proportional to 408,540 and 630,036

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Solution

The third proportional to 408,540 and 630,036 is: 971,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,540 : 630,036 = 630,036 : x
  2. Step 2: Convert to fraction form
    408,540/630,036 = 630,036/x
  3. Step 3: Cross multiply
    408,540x = 630,036 × 630,036
  4. Step 4: Simplify right side
    408,540x = 396,945,361,296
  5. Step 5: Solve for x
    x = 396,945,361,296/408,540
  6. Step 6: Final answer
    x = 971,619.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.