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Finding the Third Proportional to 80,569 and 122,629.50

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Solution

The third proportional to 80,569 and 122,629.50 is: 186,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,569 : 122,629.50 = 122,629.50 : x
  2. Step 2: Convert to fraction form
    80,569/122,629.50 = 122,629.50/x
  3. Step 3: Cross multiply
    80,569x = 122,629.50 × 122,629.50
  4. Step 4: Simplify right side
    80,569x = 15,037,994,270.25
  5. Step 5: Solve for x
    x = 15,037,994,270.25/80,569
  6. Step 6: Final answer
    x = 186,647.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.