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Finding the Third Proportional to 396,120.75 and 585,445.13

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Solution

The third proportional to 396,120.75 and 585,445.13 is: 865,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,120.75 : 585,445.13 = 585,445.13 : x
  2. Step 2: Convert to fraction form
    396,120.75/585,445.13 = 585,445.13/x
  3. Step 3: Cross multiply
    396,120.75x = 585,445.13 × 585,445.13
  4. Step 4: Simplify right side
    396,120.75x = 342,745,994,386.27
  5. Step 5: Solve for x
    x = 342,745,994,386.27/396,120.75
  6. Step 6: Final answer
    x = 865,256.35

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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.