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Finding the Third Proportional to 209,044.50 and 315,525.75

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Solution

The third proportional to 209,044.50 and 315,525.75 is: 476,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,044.50 : 315,525.75 = 315,525.75 : x
  2. Step 2: Convert to fraction form
    209,044.50/315,525.75 = 315,525.75/x
  3. Step 3: Cross multiply
    209,044.50x = 315,525.75 × 315,525.75
  4. Step 4: Simplify right side
    209,044.50x = 99,556,498,913.06
  5. Step 5: Solve for x
    x = 99,556,498,913.06/209,044.50
  6. Step 6: Final answer
    x = 476,245.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.