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Finding the Third Proportional to 27,178 and 39,787

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Solution

The third proportional to 27,178 and 39,787 is: 58,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178 : 39,787 = 39,787 : x
  2. Step 2: Convert to fraction form
    27,178/39,787 = 39,787/x
  3. Step 3: Cross multiply
    27,178x = 39,787 × 39,787
  4. Step 4: Simplify right side
    27,178x = 1,583,005,369
  5. Step 5: Solve for x
    x = 1,583,005,369/27,178
  6. Step 6: Final answer
    x = 58,245.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.