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Finding the Third Proportional to 163,780 and 355,208

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Solution

The third proportional to 163,780 and 355,208 is: 770,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,780 : 355,208 = 355,208 : x
  2. Step 2: Convert to fraction form
    163,780/355,208 = 355,208/x
  3. Step 3: Cross multiply
    163,780x = 355,208 × 355,208
  4. Step 4: Simplify right side
    163,780x = 126,172,723,264
  5. Step 5: Solve for x
    x = 126,172,723,264/163,780
  6. Step 6: Final answer
    x = 770,379.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.