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Finding the Third Proportional to 198,052 and 427,669

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Solution

The third proportional to 198,052 and 427,669 is: 923,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,052 : 427,669 = 427,669 : x
  2. Step 2: Convert to fraction form
    198,052/427,669 = 427,669/x
  3. Step 3: Cross multiply
    198,052x = 427,669 × 427,669
  4. Step 4: Simplify right side
    198,052x = 182,900,773,561
  5. Step 5: Solve for x
    x = 182,900,773,561/198,052
  6. Step 6: Final answer
    x = 923,498.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.