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Finding the Third Proportional to 221,673.09 and 343,945.41

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Solution

The third proportional to 221,673.09 and 343,945.41 is: 533,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,673.09 : 343,945.41 = 343,945.41 : x
  2. Step 2: Convert to fraction form
    221,673.09/343,945.41 = 343,945.41/x
  3. Step 3: Cross multiply
    221,673.09x = 343,945.41 × 343,945.41
  4. Step 4: Simplify right side
    221,673.09x = 118,298,442,480.48
  5. Step 5: Solve for x
    x = 118,298,442,480.48/221,673.09
  6. Step 6: Final answer
    x = 533,661.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.