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Finding the Third Proportional to 221,395.50 and 310,668.75

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Solution

The third proportional to 221,395.50 and 310,668.75 is: 435,939.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,395.50 : 310,668.75 = 310,668.75 : x
  2. Step 2: Convert to fraction form
    221,395.50/310,668.75 = 310,668.75/x
  3. Step 3: Cross multiply
    221,395.50x = 310,668.75 × 310,668.75
  4. Step 4: Simplify right side
    221,395.50x = 96,515,072,226.56
  5. Step 5: Solve for x
    x = 96,515,072,226.56/221,395.50
  6. Step 6: Final answer
    x = 435,939.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.