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Finding the Third Proportional to 77,882 and 163,540

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Solution

The third proportional to 77,882 and 163,540 is: 343,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882 : 163,540 = 163,540 : x
  2. Step 2: Convert to fraction form
    77,882/163,540 = 163,540/x
  3. Step 3: Cross multiply
    77,882x = 163,540 × 163,540
  4. Step 4: Simplify right side
    77,882x = 26,745,331,600
  5. Step 5: Solve for x
    x = 26,745,331,600/77,882
  6. Step 6: Final answer
    x = 343,408.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.