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Finding the Third Proportional to 72,624 and 151,899

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Solution

The third proportional to 72,624 and 151,899 is: 317,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,624 : 151,899 = 151,899 : x
  2. Step 2: Convert to fraction form
    72,624/151,899 = 151,899/x
  3. Step 3: Cross multiply
    72,624x = 151,899 × 151,899
  4. Step 4: Simplify right side
    72,624x = 23,073,306,201
  5. Step 5: Solve for x
    x = 23,073,306,201/72,624
  6. Step 6: Final answer
    x = 317,709.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.