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Finding the Third Proportional to 180,280.13 and 261,118.69

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Solution

The third proportional to 180,280.13 and 261,118.69 is: 378,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,280.13 : 261,118.69 = 261,118.69 : x
  2. Step 2: Convert to fraction form
    180,280.13/261,118.69 = 261,118.69/x
  3. Step 3: Cross multiply
    180,280.13x = 261,118.69 × 261,118.69
  4. Step 4: Simplify right side
    180,280.13x = 68,182,968,961.72
  5. Step 5: Solve for x
    x = 68,182,968,961.72/180,280.13
  6. Step 6: Final answer
    x = 378,205.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.