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Finding the Third Proportional to 211,421.39 and 443,602.20

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Solution

The third proportional to 211,421.39 and 443,602.20 is: 930,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,421.39 : 443,602.20 = 443,602.20 : x
  2. Step 2: Convert to fraction form
    211,421.39/443,602.20 = 443,602.20/x
  3. Step 3: Cross multiply
    211,421.39x = 443,602.20 × 443,602.20
  4. Step 4: Simplify right side
    211,421.39x = 196,782,907,686.07
  5. Step 5: Solve for x
    x = 196,782,907,686.07/211,421.39
  6. Step 6: Final answer
    x = 930,761.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.