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Finding the Third Proportional to 198,058 and 427,681

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Solution

The third proportional to 198,058 and 427,681 is: 923,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,058 : 427,681 = 427,681 : x
  2. Step 2: Convert to fraction form
    198,058/427,681 = 427,681/x
  3. Step 3: Cross multiply
    198,058x = 427,681 × 427,681
  4. Step 4: Simplify right side
    198,058x = 182,911,037,761
  5. Step 5: Solve for x
    x = 182,911,037,761/198,058
  6. Step 6: Final answer
    x = 923,522.59

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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.