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Finding the Third Proportional to 163,786 and 355,220

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Solution

The third proportional to 163,786 and 355,220 is: 770,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,786 : 355,220 = 355,220 : x
  2. Step 2: Convert to fraction form
    163,786/355,220 = 355,220/x
  3. Step 3: Cross multiply
    163,786x = 355,220 × 355,220
  4. Step 4: Simplify right side
    163,786x = 126,181,248,400
  5. Step 5: Solve for x
    x = 126,181,248,400/163,786
  6. Step 6: Final answer
    x = 770,403.14

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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.