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Finding the Third Proportional to 163,166 and 252,132

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Solution

The third proportional to 163,166 and 252,132 is: 389,606.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,166 : 252,132 = 252,132 : x
  2. Step 2: Convert to fraction form
    163,166/252,132 = 252,132/x
  3. Step 3: Cross multiply
    163,166x = 252,132 × 252,132
  4. Step 4: Simplify right side
    163,166x = 63,570,545,424
  5. Step 5: Solve for x
    x = 63,570,545,424/163,166
  6. Step 6: Final answer
    x = 389,606.57

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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.