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Finding the Third Proportional to 245,416.50 and 513,067.50

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Solution

The third proportional to 245,416.50 and 513,067.50 is: 1,072,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,416.50 : 513,067.50 = 513,067.50 : x
  2. Step 2: Convert to fraction form
    245,416.50/513,067.50 = 513,067.50/x
  3. Step 3: Cross multiply
    245,416.50x = 513,067.50 × 513,067.50
  4. Step 4: Simplify right side
    245,416.50x = 263,238,259,556.25
  5. Step 5: Solve for x
    x = 263,238,259,556.25/245,416.50
  6. Step 6: Final answer
    x = 1,072,618.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.