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Finding the Third Proportional to 169,543 and 256,497

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Solution

The third proportional to 169,543 and 256,497 is: 388,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,543 : 256,497 = 256,497 : x
  2. Step 2: Convert to fraction form
    169,543/256,497 = 256,497/x
  3. Step 3: Cross multiply
    169,543x = 256,497 × 256,497
  4. Step 4: Simplify right side
    169,543x = 65,790,711,009
  5. Step 5: Solve for x
    x = 65,790,711,009/169,543
  6. Step 6: Final answer
    x = 388,047.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.