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Finding the Third Proportional to 177,745.50 and 380,506.50

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Solution

The third proportional to 177,745.50 and 380,506.50 is: 814,564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,745.50 : 380,506.50 = 380,506.50 : x
  2. Step 2: Convert to fraction form
    177,745.50/380,506.50 = 380,506.50/x
  3. Step 3: Cross multiply
    177,745.50x = 380,506.50 × 380,506.50
  4. Step 4: Simplify right side
    177,745.50x = 144,785,196,542.25
  5. Step 5: Solve for x
    x = 144,785,196,542.25/177,745.50
  6. Step 6: Final answer
    x = 814,564.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.