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Finding the Third Proportional to 400,144 and 585,239

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Solution

The third proportional to 400,144 and 585,239 is: 855,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,144 : 585,239 = 585,239 : x
  2. Step 2: Convert to fraction form
    400,144/585,239 = 585,239/x
  3. Step 3: Cross multiply
    400,144x = 585,239 × 585,239
  4. Step 4: Simplify right side
    400,144x = 342,504,687,121
  5. Step 5: Solve for x
    x = 342,504,687,121/400,144
  6. Step 6: Final answer
    x = 855,953.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.