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Finding the Third Proportional to 179,645 and 281,809

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Solution

The third proportional to 179,645 and 281,809 is: 442,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,645 : 281,809 = 281,809 : x
  2. Step 2: Convert to fraction form
    179,645/281,809 = 281,809/x
  3. Step 3: Cross multiply
    179,645x = 281,809 × 281,809
  4. Step 4: Simplify right side
    179,645x = 79,416,312,481
  5. Step 5: Solve for x
    x = 79,416,312,481/179,645
  6. Step 6: Final answer
    x = 442,073.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.