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Finding the Third Proportional to 157,988 and 256,676

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Solution

The third proportional to 157,988 and 256,676 is: 417,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,988 : 256,676 = 256,676 : x
  2. Step 2: Convert to fraction form
    157,988/256,676 = 256,676/x
  3. Step 3: Cross multiply
    157,988x = 256,676 × 256,676
  4. Step 4: Simplify right side
    157,988x = 65,882,568,976
  5. Step 5: Solve for x
    x = 65,882,568,976/157,988
  6. Step 6: Final answer
    x = 417,009.96

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.