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Finding the Third Proportional to 343,845 and 531,348.19

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Solution

The third proportional to 343,845 and 531,348.19 is: 821,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,845 : 531,348.19 = 531,348.19 : x
  2. Step 2: Convert to fraction form
    343,845/531,348.19 = 531,348.19/x
  3. Step 3: Cross multiply
    343,845x = 531,348.19 × 531,348.19
  4. Step 4: Simplify right side
    343,845x = 282,330,896,359.54
  5. Step 5: Solve for x
    x = 282,330,896,359.54/343,845
  6. Step 6: Final answer
    x = 821,099.32

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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.