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Finding the Third Proportional to 207,660 and 325,318

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Solution

The third proportional to 207,660 and 325,318 is: 509,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,660 : 325,318 = 325,318 : x
  2. Step 2: Convert to fraction form
    207,660/325,318 = 325,318/x
  3. Step 3: Cross multiply
    207,660x = 325,318 × 325,318
  4. Step 4: Simplify right side
    207,660x = 105,831,801,124
  5. Step 5: Solve for x
    x = 105,831,801,124/207,660
  6. Step 6: Final answer
    x = 509,639.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.