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Finding the Third Proportional to 178,575 and 269,687.25

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Solution

The third proportional to 178,575 and 269,687.25 is: 407,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,575 : 269,687.25 = 269,687.25 : x
  2. Step 2: Convert to fraction form
    178,575/269,687.25 = 269,687.25/x
  3. Step 3: Cross multiply
    178,575x = 269,687.25 × 269,687.25
  4. Step 4: Simplify right side
    178,575x = 72,731,212,812.56
  5. Step 5: Solve for x
    x = 72,731,212,812.56/178,575
  6. Step 6: Final answer
    x = 407,286.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.