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Finding the Third Proportional to 157,530 and 345,680

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Solution

The third proportional to 157,530 and 345,680 is: 758,551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,530 : 345,680 = 345,680 : x
  2. Step 2: Convert to fraction form
    157,530/345,680 = 345,680/x
  3. Step 3: Cross multiply
    157,530x = 345,680 × 345,680
  4. Step 4: Simplify right side
    157,530x = 119,494,662,400
  5. Step 5: Solve for x
    x = 119,494,662,400/157,530
  6. Step 6: Final answer
    x = 758,551.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.