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Finding the Third Proportional to 396,144 and 585,480

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Solution

The third proportional to 396,144 and 585,480 is: 865,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,144 : 585,480 = 585,480 : x
  2. Step 2: Convert to fraction form
    396,144/585,480 = 585,480/x
  3. Step 3: Cross multiply
    396,144x = 585,480 × 585,480
  4. Step 4: Simplify right side
    396,144x = 342,786,830,400
  5. Step 5: Solve for x
    x = 342,786,830,400/396,144
  6. Step 6: Final answer
    x = 865,308.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.