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Finding the Third Proportional to 82,956 and 128,661

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Solution

The third proportional to 82,956 and 128,661 is: 199,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,956 : 128,661 = 128,661 : x
  2. Step 2: Convert to fraction form
    82,956/128,661 = 128,661/x
  3. Step 3: Cross multiply
    82,956x = 128,661 × 128,661
  4. Step 4: Simplify right side
    82,956x = 16,553,652,921
  5. Step 5: Solve for x
    x = 16,553,652,921/82,956
  6. Step 6: Final answer
    x = 199,547.39

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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.