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Finding the Third Proportional to 401,238 and 623,286

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Solution

The third proportional to 401,238 and 623,286 is: 968,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,238 : 623,286 = 623,286 : x
  2. Step 2: Convert to fraction form
    401,238/623,286 = 623,286/x
  3. Step 3: Cross multiply
    401,238x = 623,286 × 623,286
  4. Step 4: Simplify right side
    401,238x = 388,485,437,796
  5. Step 5: Solve for x
    x = 388,485,437,796/401,238
  6. Step 6: Final answer
    x = 968,216.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.