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Finding the Third Proportional to 200,543.63 and 445,915.69

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Solution

The third proportional to 200,543.63 and 445,915.69 is: 991,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,543.63 : 445,915.69 = 445,915.69 : x
  2. Step 2: Convert to fraction form
    200,543.63/445,915.69 = 445,915.69/x
  3. Step 3: Cross multiply
    200,543.63x = 445,915.69 × 445,915.69
  4. Step 4: Simplify right side
    200,543.63x = 198,840,800,358.60
  5. Step 5: Solve for x
    x = 198,840,800,358.60/200,543.63
  6. Step 6: Final answer
    x = 991,508.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.