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Finding the Third Proportional to 72,907 and 151,631

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Solution

The third proportional to 72,907 and 151,631 is: 315,360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,907 : 151,631 = 151,631 : x
  2. Step 2: Convert to fraction form
    72,907/151,631 = 151,631/x
  3. Step 3: Cross multiply
    72,907x = 151,631 × 151,631
  4. Step 4: Simplify right side
    72,907x = 22,991,960,161
  5. Step 5: Solve for x
    x = 22,991,960,161/72,907
  6. Step 6: Final answer
    x = 315,360.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.