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Finding the Third Proportional to 58,905 and 122,777

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Solution

The third proportional to 58,905 and 122,777 is: 255,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,905 : 122,777 = 122,777 : x
  2. Step 2: Convert to fraction form
    58,905/122,777 = 122,777/x
  3. Step 3: Cross multiply
    58,905x = 122,777 × 122,777
  4. Step 4: Simplify right side
    58,905x = 15,074,191,729
  5. Step 5: Solve for x
    x = 15,074,191,729/58,905
  6. Step 6: Final answer
    x = 255,906.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.