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Finding the Third Proportional to 81,027 and 122,658

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Solution

The third proportional to 81,027 and 122,658 is: 185,678.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,027 : 122,658 = 122,658 : x
  2. Step 2: Convert to fraction form
    81,027/122,658 = 122,658/x
  3. Step 3: Cross multiply
    81,027x = 122,658 × 122,658
  4. Step 4: Simplify right side
    81,027x = 15,044,984,964
  5. Step 5: Solve for x
    x = 15,044,984,964/81,027
  6. Step 6: Final answer
    x = 185,678.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.