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Finding the Third Proportional to 81,012 and 122,598

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Solution

The third proportional to 81,012 and 122,598 is: 185,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,012 : 122,598 = 122,598 : x
  2. Step 2: Convert to fraction form
    81,012/122,598 = 122,598/x
  3. Step 3: Cross multiply
    81,012x = 122,598 × 122,598
  4. Step 4: Simplify right side
    81,012x = 15,030,269,604
  5. Step 5: Solve for x
    x = 15,030,269,604/81,012
  6. Step 6: Final answer
    x = 185,531.40

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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.