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Finding the Third Proportional to 180,615 and 277,717

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Solution

The third proportional to 180,615 and 277,717 is: 427,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,615 : 277,717 = 277,717 : x
  2. Step 2: Convert to fraction form
    180,615/277,717 = 277,717/x
  3. Step 3: Cross multiply
    180,615x = 277,717 × 277,717
  4. Step 4: Simplify right side
    180,615x = 77,126,732,089
  5. Step 5: Solve for x
    x = 77,126,732,089/180,615
  6. Step 6: Final answer
    x = 427,022.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.