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Finding the Third Proportional to 163,400 and 341,768

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Solution

The third proportional to 163,400 and 341,768 is: 714,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,400 : 341,768 = 341,768 : x
  2. Step 2: Convert to fraction form
    163,400/341,768 = 341,768/x
  3. Step 3: Cross multiply
    163,400x = 341,768 × 341,768
  4. Step 4: Simplify right side
    163,400x = 116,805,365,824
  5. Step 5: Solve for x
    x = 116,805,365,824/163,400
  6. Step 6: Final answer
    x = 714,843.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.