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Finding the Third Proportional to 81,216 and 129,600

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Solution

The third proportional to 81,216 and 129,600 is: 206,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,216 : 129,600 = 129,600 : x
  2. Step 2: Convert to fraction form
    81,216/129,600 = 129,600/x
  3. Step 3: Cross multiply
    81,216x = 129,600 × 129,600
  4. Step 4: Simplify right side
    81,216x = 16,796,160,000
  5. Step 5: Solve for x
    x = 16,796,160,000/81,216
  6. Step 6: Final answer
    x = 206,808.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.