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Finding the Third Proportional to 36,540 and 79,842

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Solution

The third proportional to 36,540 and 79,842 is: 174,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,540 : 79,842 = 79,842 : x
  2. Step 2: Convert to fraction form
    36,540/79,842 = 79,842/x
  3. Step 3: Cross multiply
    36,540x = 79,842 × 79,842
  4. Step 4: Simplify right side
    36,540x = 6,374,744,964
  5. Step 5: Solve for x
    x = 6,374,744,964/36,540
  6. Step 6: Final answer
    x = 174,459.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.