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Finding the Third Proportional to 82,709 and 133,716

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Solution

The third proportional to 82,709 and 133,716 is: 216,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,709 : 133,716 = 133,716 : x
  2. Step 2: Convert to fraction form
    82,709/133,716 = 133,716/x
  3. Step 3: Cross multiply
    82,709x = 133,716 × 133,716
  4. Step 4: Simplify right side
    82,709x = 17,879,968,656
  5. Step 5: Solve for x
    x = 17,879,968,656/82,709
  6. Step 6: Final answer
    x = 216,179.24

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.