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Finding the Third Proportional to 20,178 and 40,787

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Solution

The third proportional to 20,178 and 40,787 is: 82,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178 : 40,787 = 40,787 : x
  2. Step 2: Convert to fraction form
    20,178/40,787 = 40,787/x
  3. Step 3: Cross multiply
    20,178x = 40,787 × 40,787
  4. Step 4: Simplify right side
    20,178x = 1,663,579,369
  5. Step 5: Solve for x
    x = 1,663,579,369/20,178
  6. Step 6: Final answer
    x = 82,445.21

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.