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Finding the Third Proportional to 435,885 and 585,756

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Solution

The third proportional to 435,885 and 585,756 is: 787,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,885 : 585,756 = 585,756 : x
  2. Step 2: Convert to fraction form
    435,885/585,756 = 585,756/x
  3. Step 3: Cross multiply
    435,885x = 585,756 × 585,756
  4. Step 4: Simplify right side
    435,885x = 343,110,091,536
  5. Step 5: Solve for x
    x = 343,110,091,536/435,885
  6. Step 6: Final answer
    x = 787,157.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.