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Finding the Third Proportional to 163,170 and 252,141

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Solution

The third proportional to 163,170 and 252,141 is: 389,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,170 : 252,141 = 252,141 : x
  2. Step 2: Convert to fraction form
    163,170/252,141 = 252,141/x
  3. Step 3: Cross multiply
    163,170x = 252,141 × 252,141
  4. Step 4: Simplify right side
    163,170x = 63,575,083,881
  5. Step 5: Solve for x
    x = 63,575,083,881/163,170
  6. Step 6: Final answer
    x = 389,624.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.