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Finding the Third Proportional to 81,680 and 128,352

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Solution

The third proportional to 81,680 and 128,352 is: 201,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,680 : 128,352 = 128,352 : x
  2. Step 2: Convert to fraction form
    81,680/128,352 = 128,352/x
  3. Step 3: Cross multiply
    81,680x = 128,352 × 128,352
  4. Step 4: Simplify right side
    81,680x = 16,474,235,904
  5. Step 5: Solve for x
    x = 16,474,235,904/81,680
  6. Step 6: Final answer
    x = 201,692.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.