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Finding the Third Proportional to 19,820 and 27,178

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Solution

The third proportional to 19,820 and 27,178 is: 37,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820 : 27,178 = 27,178 : x
  2. Step 2: Convert to fraction form
    19,820/27,178 = 27,178/x
  3. Step 3: Cross multiply
    19,820x = 27,178 × 27,178
  4. Step 4: Simplify right side
    19,820x = 738,643,684
  5. Step 5: Solve for x
    x = 738,643,684/19,820
  6. Step 6: Final answer
    x = 37,267.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.