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Finding the Third Proportional to 82,482 and 128,043

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Solution

The third proportional to 82,482 and 128,043 is: 198,770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,482 : 128,043 = 128,043 : x
  2. Step 2: Convert to fraction form
    82,482/128,043 = 128,043/x
  3. Step 3: Cross multiply
    82,482x = 128,043 × 128,043
  4. Step 4: Simplify right side
    82,482x = 16,395,009,849
  5. Step 5: Solve for x
    x = 16,395,009,849/82,482
  6. Step 6: Final answer
    x = 198,770.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.