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Finding the Third Proportional to 158,200 and 343,760

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Solution

The third proportional to 158,200 and 343,760 is: 746,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,200 : 343,760 = 343,760 : x
  2. Step 2: Convert to fraction form
    158,200/343,760 = 343,760/x
  3. Step 3: Cross multiply
    158,200x = 343,760 × 343,760
  4. Step 4: Simplify right side
    158,200x = 118,170,937,600
  5. Step 5: Solve for x
    x = 118,170,937,600/158,200
  6. Step 6: Final answer
    x = 746,971.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.