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Finding the Third Proportional to 163,270 and 252,185

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Solution

The third proportional to 163,270 and 252,185 is: 389,522.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,270 : 252,185 = 252,185 : x
  2. Step 2: Convert to fraction form
    163,270/252,185 = 252,185/x
  3. Step 3: Cross multiply
    163,270x = 252,185 × 252,185
  4. Step 4: Simplify right side
    163,270x = 63,597,274,225
  5. Step 5: Solve for x
    x = 63,597,274,225/163,270
  6. Step 6: Final answer
    x = 389,522.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.