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Finding the Third Proportional to 163,376 and 351,784

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Solution

The third proportional to 163,376 and 351,784 is: 757,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,376 : 351,784 = 351,784 : x
  2. Step 2: Convert to fraction form
    163,376/351,784 = 351,784/x
  3. Step 3: Cross multiply
    163,376x = 351,784 × 351,784
  4. Step 4: Simplify right side
    163,376x = 123,751,982,656
  5. Step 5: Solve for x
    x = 123,751,982,656/163,376
  6. Step 6: Final answer
    x = 757,467.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.