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Finding the Third Proportional to 122,740 and 180,082

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Solution

The third proportional to 122,740 and 180,082 is: 264,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,740 : 180,082 = 180,082 : x
  2. Step 2: Convert to fraction form
    122,740/180,082 = 180,082/x
  3. Step 3: Cross multiply
    122,740x = 180,082 × 180,082
  4. Step 4: Simplify right side
    122,740x = 32,429,526,724
  5. Step 5: Solve for x
    x = 32,429,526,724/122,740
  6. Step 6: Final answer
    x = 264,213.19

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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.