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Finding the Third Proportional to 19,820 and 39,096

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Solution

The third proportional to 19,820 and 39,096 is: 77,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820 : 39,096 = 39,096 : x
  2. Step 2: Convert to fraction form
    19,820/39,096 = 39,096/x
  3. Step 3: Cross multiply
    19,820x = 39,096 × 39,096
  4. Step 4: Simplify right side
    19,820x = 1,528,497,216
  5. Step 5: Solve for x
    x = 1,528,497,216/19,820
  6. Step 6: Final answer
    x = 77,118.93

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.