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Finding the Third Proportional to 207,403.50 and 443,238

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Solution

The third proportional to 207,403.50 and 443,238 is: 947,235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,403.50 : 443,238 = 443,238 : x
  2. Step 2: Convert to fraction form
    207,403.50/443,238 = 443,238/x
  3. Step 3: Cross multiply
    207,403.50x = 443,238 × 443,238
  4. Step 4: Simplify right side
    207,403.50x = 196,459,924,644
  5. Step 5: Solve for x
    x = 196,459,924,644/207,403.50
  6. Step 6: Final answer
    x = 947,235.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.