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Finding the Third Proportional to 180,646 and 275,682

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Solution

The third proportional to 180,646 and 275,682 is: 420,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,646 : 275,682 = 275,682 : x
  2. Step 2: Convert to fraction form
    180,646/275,682 = 275,682/x
  3. Step 3: Cross multiply
    180,646x = 275,682 × 275,682
  4. Step 4: Simplify right side
    180,646x = 76,000,565,124
  5. Step 5: Solve for x
    x = 76,000,565,124/180,646
  6. Step 6: Final answer
    x = 420,715.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.