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Finding the Third Proportional to 163,469 and 254,891

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Solution

The third proportional to 163,469 and 254,891 is: 397,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,469 : 254,891 = 254,891 : x
  2. Step 2: Convert to fraction form
    163,469/254,891 = 254,891/x
  3. Step 3: Cross multiply
    163,469x = 254,891 × 254,891
  4. Step 4: Simplify right side
    163,469x = 64,969,421,881
  5. Step 5: Solve for x
    x = 64,969,421,881/163,469
  6. Step 6: Final answer
    x = 397,441.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.