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Finding the Third Proportional to 27,900 and 39,777

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Solution

The third proportional to 27,900 and 39,777 is: 56,710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,900 : 39,777 = 39,777 : x
  2. Step 2: Convert to fraction form
    27,900/39,777 = 39,777/x
  3. Step 3: Cross multiply
    27,900x = 39,777 × 39,777
  4. Step 4: Simplify right side
    27,900x = 1,582,209,729
  5. Step 5: Solve for x
    x = 1,582,209,729/27,900
  6. Step 6: Final answer
    x = 56,710.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.