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Finding the Third Proportional to 85,197 and 128,989

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Solution

The third proportional to 85,197 and 128,989 is: 195,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,197 : 128,989 = 128,989 : x
  2. Step 2: Convert to fraction form
    85,197/128,989 = 128,989/x
  3. Step 3: Cross multiply
    85,197x = 128,989 × 128,989
  4. Step 4: Simplify right side
    85,197x = 16,638,162,121
  5. Step 5: Solve for x
    x = 16,638,162,121/85,197
  6. Step 6: Final answer
    x = 195,290.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.