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Finding the Third Proportional to 81,046 and 122,689

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Solution

The third proportional to 81,046 and 122,689 is: 185,728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,046 : 122,689 = 122,689 : x
  2. Step 2: Convert to fraction form
    81,046/122,689 = 122,689/x
  3. Step 3: Cross multiply
    81,046x = 122,689 × 122,689
  4. Step 4: Simplify right side
    81,046x = 15,052,590,721
  5. Step 5: Solve for x
    x = 15,052,590,721/81,046
  6. Step 6: Final answer
    x = 185,728.98

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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.