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Finding the Third Proportional to 39,840 and 55,842

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Solution

The third proportional to 39,840 and 55,842 is: 78,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,840 : 55,842 = 55,842 : x
  2. Step 2: Convert to fraction form
    39,840/55,842 = 55,842/x
  3. Step 3: Cross multiply
    39,840x = 55,842 × 55,842
  4. Step 4: Simplify right side
    39,840x = 3,118,328,964
  5. Step 5: Solve for x
    x = 3,118,328,964/39,840
  6. Step 6: Final answer
    x = 78,271.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.