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Finding the Third Proportional to 72,234 and 102,975

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Solution

The third proportional to 72,234 and 102,975 is: 146,798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,234 : 102,975 = 102,975 : x
  2. Step 2: Convert to fraction form
    72,234/102,975 = 102,975/x
  3. Step 3: Cross multiply
    72,234x = 102,975 × 102,975
  4. Step 4: Simplify right side
    72,234x = 10,603,850,625
  5. Step 5: Solve for x
    x = 10,603,850,625/72,234
  6. Step 6: Final answer
    x = 146,798.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.