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Finding the Third Proportional to 218,403.84 and 447,393.38

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Solution

The third proportional to 218,403.84 and 447,393.38 is: 916,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,403.84 : 447,393.38 = 447,393.38 : x
  2. Step 2: Convert to fraction form
    218,403.84/447,393.38 = 447,393.38/x
  3. Step 3: Cross multiply
    218,403.84x = 447,393.38 × 447,393.38
  4. Step 4: Simplify right side
    218,403.84x = 200,160,831,993.89
  5. Step 5: Solve for x
    x = 200,160,831,993.89/218,403.84
  6. Step 6: Final answer
    x = 916,471.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.