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Finding the Third Proportional to 169,500 and 256,438

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Solution

The third proportional to 169,500 and 256,438 is: 387,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,500 : 256,438 = 256,438 : x
  2. Step 2: Convert to fraction form
    169,500/256,438 = 256,438/x
  3. Step 3: Cross multiply
    169,500x = 256,438 × 256,438
  4. Step 4: Simplify right side
    169,500x = 65,760,447,844
  5. Step 5: Solve for x
    x = 65,760,447,844/169,500
  6. Step 6: Final answer
    x = 387,967.24

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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.