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Finding the Third Proportional to 85,188 and 128,976

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Solution

The third proportional to 85,188 and 128,976 is: 195,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,188 : 128,976 = 128,976 : x
  2. Step 2: Convert to fraction form
    85,188/128,976 = 128,976/x
  3. Step 3: Cross multiply
    85,188x = 128,976 × 128,976
  4. Step 4: Simplify right side
    85,188x = 16,634,808,576
  5. Step 5: Solve for x
    x = 16,634,808,576/85,188
  6. Step 6: Final answer
    x = 195,271.74

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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.