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Finding the Third Proportional to 152,145 and 324,645

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Solution

The third proportional to 152,145 and 324,645 is: 692,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,145 : 324,645 = 324,645 : x
  2. Step 2: Convert to fraction form
    152,145/324,645 = 324,645/x
  3. Step 3: Cross multiply
    152,145x = 324,645 × 324,645
  4. Step 4: Simplify right side
    152,145x = 105,394,376,025
  5. Step 5: Solve for x
    x = 105,394,376,025/152,145
  6. Step 6: Final answer
    x = 692,723.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.