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Finding the Third Proportional to 180,144 and 286,704

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Solution

The third proportional to 180,144 and 286,704 is: 456,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,144 : 286,704 = 286,704 : x
  2. Step 2: Convert to fraction form
    180,144/286,704 = 286,704/x
  3. Step 3: Cross multiply
    180,144x = 286,704 × 286,704
  4. Step 4: Simplify right side
    180,144x = 82,199,183,616
  5. Step 5: Solve for x
    x = 82,199,183,616/180,144
  6. Step 6: Final answer
    x = 456,297.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.