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Finding the Third Proportional to 77,658 and 122,744

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Solution

The third proportional to 77,658 and 122,744 is: 194,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,658 : 122,744 = 122,744 : x
  2. Step 2: Convert to fraction form
    77,658/122,744 = 122,744/x
  3. Step 3: Cross multiply
    77,658x = 122,744 × 122,744
  4. Step 4: Simplify right side
    77,658x = 15,066,089,536
  5. Step 5: Solve for x
    x = 15,066,089,536/77,658
  6. Step 6: Final answer
    x = 194,005.63

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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.