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Finding the Third Proportional to 169,744 and 256,346

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Solution

The third proportional to 169,744 and 256,346 is: 387,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,744 : 256,346 = 256,346 : x
  2. Step 2: Convert to fraction form
    169,744/256,346 = 256,346/x
  3. Step 3: Cross multiply
    169,744x = 256,346 × 256,346
  4. Step 4: Simplify right side
    169,744x = 65,713,271,716
  5. Step 5: Solve for x
    x = 65,713,271,716/169,744
  6. Step 6: Final answer
    x = 387,131.63

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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.