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Finding the Third Proportional to 204,484.50 and 445,643.02

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Solution

The third proportional to 204,484.50 and 445,643.02 is: 971,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,484.50 : 445,643.02 = 445,643.02 : x
  2. Step 2: Convert to fraction form
    204,484.50/445,643.02 = 445,643.02/x
  3. Step 3: Cross multiply
    204,484.50x = 445,643.02 × 445,643.02
  4. Step 4: Simplify right side
    204,484.50x = 198,597,697,375.34
  5. Step 5: Solve for x
    x = 198,597,697,375.34/204,484.50
  6. Step 6: Final answer
    x = 971,211.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.