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Finding the Third Proportional to 401,231 and 623,273

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Solution

The third proportional to 401,231 and 623,273 is: 968,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,231 : 623,273 = 623,273 : x
  2. Step 2: Convert to fraction form
    401,231/623,273 = 623,273/x
  3. Step 3: Cross multiply
    401,231x = 623,273 × 623,273
  4. Step 4: Simplify right side
    401,231x = 388,469,232,529
  5. Step 5: Solve for x
    x = 388,469,232,529/401,231
  6. Step 6: Final answer
    x = 968,193.47

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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.