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Finding the Third Proportional to 82,829 and 129,164

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Solution

The third proportional to 82,829 and 129,164 is: 201,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,829 : 129,164 = 129,164 : x
  2. Step 2: Convert to fraction form
    82,829/129,164 = 129,164/x
  3. Step 3: Cross multiply
    82,829x = 129,164 × 129,164
  4. Step 4: Simplify right side
    82,829x = 16,683,338,896
  5. Step 5: Solve for x
    x = 16,683,338,896/82,829
  6. Step 6: Final answer
    x = 201,419.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.