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Finding the Third Proportional to 55,420 and 85,989

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Solution

The third proportional to 55,420 and 85,989 is: 133,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,420 : 85,989 = 85,989 : x
  2. Step 2: Convert to fraction form
    55,420/85,989 = 85,989/x
  3. Step 3: Cross multiply
    55,420x = 85,989 × 85,989
  4. Step 4: Simplify right side
    55,420x = 7,394,108,121
  5. Step 5: Solve for x
    x = 7,394,108,121/55,420
  6. Step 6: Final answer
    x = 133,419.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.