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Finding the Third Proportional to 157,989.75 and 329,106

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Solution

The third proportional to 157,989.75 and 329,106 is: 685,555.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,989.75 : 329,106 = 329,106 : x
  2. Step 2: Convert to fraction form
    157,989.75/329,106 = 329,106/x
  3. Step 3: Cross multiply
    157,989.75x = 329,106 × 329,106
  4. Step 4: Simplify right side
    157,989.75x = 108,310,759,236
  5. Step 5: Solve for x
    x = 108,310,759,236/157,989.75
  6. Step 6: Final answer
    x = 685,555.61

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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.