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Finding the Third Proportional to 169,550 and 256,512

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Solution

The third proportional to 169,550 and 256,512 is: 388,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,550 : 256,512 = 256,512 : x
  2. Step 2: Convert to fraction form
    169,550/256,512 = 256,512/x
  3. Step 3: Cross multiply
    169,550x = 256,512 × 256,512
  4. Step 4: Simplify right side
    169,550x = 65,798,406,144
  5. Step 5: Solve for x
    x = 65,798,406,144/169,550
  6. Step 6: Final answer
    x = 388,076.71

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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.