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Finding the Third Proportional to 80,253 and 173,205

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Solution

The third proportional to 80,253 and 173,205 is: 373,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,253 : 173,205 = 173,205 : x
  2. Step 2: Convert to fraction form
    80,253/173,205 = 173,205/x
  3. Step 3: Cross multiply
    80,253x = 173,205 × 173,205
  4. Step 4: Simplify right side
    80,253x = 29,999,972,025
  5. Step 5: Solve for x
    x = 29,999,972,025/80,253
  6. Step 6: Final answer
    x = 373,817.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.