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Finding the Third Proportional to 163,782 and 255,555

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Solution

The third proportional to 163,782 and 255,555 is: 398,751.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,782 : 255,555 = 255,555 : x
  2. Step 2: Convert to fraction form
    163,782/255,555 = 255,555/x
  3. Step 3: Cross multiply
    163,782x = 255,555 × 255,555
  4. Step 4: Simplify right side
    163,782x = 65,308,358,025
  5. Step 5: Solve for x
    x = 65,308,358,025/163,782
  6. Step 6: Final answer
    x = 398,751.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.