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Finding the Third Proportional to 43,391 and 87,989

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Solution

The third proportional to 43,391 and 87,989 is: 178,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,391 : 87,989 = 87,989 : x
  2. Step 2: Convert to fraction form
    43,391/87,989 = 87,989/x
  3. Step 3: Cross multiply
    43,391x = 87,989 × 87,989
  4. Step 4: Simplify right side
    43,391x = 7,742,064,121
  5. Step 5: Solve for x
    x = 7,742,064,121/43,391
  6. Step 6: Final answer
    x = 178,425.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.