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Finding the Third Proportional to 123,354 and 163,991

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Solution

The third proportional to 123,354 and 163,991 is: 218,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,354 : 163,991 = 163,991 : x
  2. Step 2: Convert to fraction form
    123,354/163,991 = 163,991/x
  3. Step 3: Cross multiply
    123,354x = 163,991 × 163,991
  4. Step 4: Simplify right side
    123,354x = 26,893,048,081
  5. Step 5: Solve for x
    x = 26,893,048,081/123,354
  6. Step 6: Final answer
    x = 218,015.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.