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Finding the Third Proportional to 27,771 and 39,579

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Solution

The third proportional to 27,771 and 39,579 is: 56,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771 : 39,579 = 39,579 : x
  2. Step 2: Convert to fraction form
    27,771/39,579 = 39,579/x
  3. Step 3: Cross multiply
    27,771x = 39,579 × 39,579
  4. Step 4: Simplify right side
    27,771x = 1,566,497,241
  5. Step 5: Solve for x
    x = 1,566,497,241/27,771
  6. Step 6: Final answer
    x = 56,407.66

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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.