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Finding the Third Proportional to 81,830 and 120,153

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Solution

The third proportional to 81,830 and 120,153 is: 176,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,830 : 120,153 = 120,153 : x
  2. Step 2: Convert to fraction form
    81,830/120,153 = 120,153/x
  3. Step 3: Cross multiply
    81,830x = 120,153 × 120,153
  4. Step 4: Simplify right side
    81,830x = 14,436,743,409
  5. Step 5: Solve for x
    x = 14,436,743,409/81,830
  6. Step 6: Final answer
    x = 176,423.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.