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Finding the Third Proportional to 170,400 and 351,724

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Solution

The third proportional to 170,400 and 351,724 is: 725,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,400 : 351,724 = 351,724 : x
  2. Step 2: Convert to fraction form
    170,400/351,724 = 351,724/x
  3. Step 3: Cross multiply
    170,400x = 351,724 × 351,724
  4. Step 4: Simplify right side
    170,400x = 123,709,772,176
  5. Step 5: Solve for x
    x = 123,709,772,176/170,400
  6. Step 6: Final answer
    x = 725,996.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.