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Finding the Third Proportional to 203,428 and 443,020

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Solution

The third proportional to 203,428 and 443,020 is: 964,796.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,428 : 443,020 = 443,020 : x
  2. Step 2: Convert to fraction form
    203,428/443,020 = 443,020/x
  3. Step 3: Cross multiply
    203,428x = 443,020 × 443,020
  4. Step 4: Simplify right side
    203,428x = 196,266,720,400
  5. Step 5: Solve for x
    x = 196,266,720,400/203,428
  6. Step 6: Final answer
    x = 964,796.98

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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.