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Finding the Third Proportional to 410,400 and 630,396

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Solution

The third proportional to 410,400 and 630,396 is: 968,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,400 : 630,396 = 630,396 : x
  2. Step 2: Convert to fraction form
    410,400/630,396 = 630,396/x
  3. Step 3: Cross multiply
    410,400x = 630,396 × 630,396
  4. Step 4: Simplify right side
    410,400x = 397,399,116,816
  5. Step 5: Solve for x
    x = 397,399,116,816/410,400
  6. Step 6: Final answer
    x = 968,321.43

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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.