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Finding the Third Proportional to 175,079 and 256,408

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Solution

The third proportional to 175,079 and 256,408 is: 375,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,079 : 256,408 = 256,408 : x
  2. Step 2: Convert to fraction form
    175,079/256,408 = 256,408/x
  3. Step 3: Cross multiply
    175,079x = 256,408 × 256,408
  4. Step 4: Simplify right side
    175,079x = 65,745,062,464
  5. Step 5: Solve for x
    x = 65,745,062,464/175,079
  6. Step 6: Final answer
    x = 375,516.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.