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Finding the Third Proportional to 19,400 and 39,617

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Solution

The third proportional to 19,400 and 39,617 is: 80,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400 : 39,617 = 39,617 : x
  2. Step 2: Convert to fraction form
    19,400/39,617 = 39,617/x
  3. Step 3: Cross multiply
    19,400x = 39,617 × 39,617
  4. Step 4: Simplify right side
    19,400x = 1,569,506,689
  5. Step 5: Solve for x
    x = 1,569,506,689/19,400
  6. Step 6: Final answer
    x = 80,902.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.