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Finding the Third Proportional to 77,701 and 122,799

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Solution

The third proportional to 77,701 and 122,799 is: 194,072.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,701 : 122,799 = 122,799 : x
  2. Step 2: Convert to fraction form
    77,701/122,799 = 122,799/x
  3. Step 3: Cross multiply
    77,701x = 122,799 × 122,799
  4. Step 4: Simplify right side
    77,701x = 15,079,594,401
  5. Step 5: Solve for x
    x = 15,079,594,401/77,701
  6. Step 6: Final answer
    x = 194,072.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.