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Finding the Third Proportional to 401,328 and 550,318

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Solution

The third proportional to 401,328 and 550,318 is: 754,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,328 : 550,318 = 550,318 : x
  2. Step 2: Convert to fraction form
    401,328/550,318 = 550,318/x
  3. Step 3: Cross multiply
    401,328x = 550,318 × 550,318
  4. Step 4: Simplify right side
    401,328x = 302,849,901,124
  5. Step 5: Solve for x
    x = 302,849,901,124/401,328
  6. Step 6: Final answer
    x = 754,619.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.