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Finding the Third Proportional to 172,257.75 and 365,656.50

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Solution

The third proportional to 172,257.75 and 365,656.50 is: 776,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,257.75 : 365,656.50 = 365,656.50 : x
  2. Step 2: Convert to fraction form
    172,257.75/365,656.50 = 365,656.50/x
  3. Step 3: Cross multiply
    172,257.75x = 365,656.50 × 365,656.50
  4. Step 4: Simplify right side
    172,257.75x = 133,704,675,992.25
  5. Step 5: Solve for x
    x = 133,704,675,992.25/172,257.75
  6. Step 6: Final answer
    x = 776,189.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.