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Finding the Third Proportional to 19,840 and 39,152

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Solution

The third proportional to 19,840 and 39,152 is: 77,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840 : 39,152 = 39,152 : x
  2. Step 2: Convert to fraction form
    19,840/39,152 = 39,152/x
  3. Step 3: Cross multiply
    19,840x = 39,152 × 39,152
  4. Step 4: Simplify right side
    19,840x = 1,532,879,104
  5. Step 5: Solve for x
    x = 1,532,879,104/19,840
  6. Step 6: Final answer
    x = 77,262.05

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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.