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Finding the Third Proportional to 528,921 and 1,162,809

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Solution

The third proportional to 528,921 and 1,162,809 is: 2,556,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,921 : 1,162,809 = 1,162,809 : x
  2. Step 2: Convert to fraction form
    528,921/1,162,809 = 1,162,809/x
  3. Step 3: Cross multiply
    528,921x = 1,162,809 × 1,162,809
  4. Step 4: Simplify right side
    528,921x = 1,352,124,770,481
  5. Step 5: Solve for x
    x = 1,352,124,770,481/528,921
  6. Step 6: Final answer
    x = 2,556,383.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.