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Finding the Third Proportional to 685,855 and 925,183.50

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Solution

The third proportional to 685,855 and 925,183.50 is: 1,248,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,855 : 925,183.50 = 925,183.50 : x
  2. Step 2: Convert to fraction form
    685,855/925,183.50 = 925,183.50/x
  3. Step 3: Cross multiply
    685,855x = 925,183.50 × 925,183.50
  4. Step 4: Simplify right side
    685,855x = 855,964,508,672.25
  5. Step 5: Solve for x
    x = 855,964,508,672.25/685,855
  6. Step 6: Final answer
    x = 1,248,025.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.