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Finding the Third Proportional to 396,120 and 585,444

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Solution

The third proportional to 396,120 and 585,444 is: 865,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,120 : 585,444 = 585,444 : x
  2. Step 2: Convert to fraction form
    396,120/585,444 = 585,444/x
  3. Step 3: Cross multiply
    396,120x = 585,444 × 585,444
  4. Step 4: Simplify right side
    396,120x = 342,744,677,136
  5. Step 5: Solve for x
    x = 342,744,677,136/396,120
  6. Step 6: Final answer
    x = 865,254.66

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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.