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Finding the Third Proportional to 39,030 and 82,921

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Solution

The third proportional to 39,030 and 82,921 is: 176,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,030 : 82,921 = 82,921 : x
  2. Step 2: Convert to fraction form
    39,030/82,921 = 82,921/x
  3. Step 3: Cross multiply
    39,030x = 82,921 × 82,921
  4. Step 4: Simplify right side
    39,030x = 6,875,892,241
  5. Step 5: Solve for x
    x = 6,875,892,241/39,030
  6. Step 6: Final answer
    x = 176,169.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.