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Finding the Third Proportional to 122,601 and 164,756.25

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Solution

The third proportional to 122,601 and 164,756.25 is: 221,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,601 : 164,756.25 = 164,756.25 : x
  2. Step 2: Convert to fraction form
    122,601/164,756.25 = 164,756.25/x
  3. Step 3: Cross multiply
    122,601x = 164,756.25 × 164,756.25
  4. Step 4: Simplify right side
    122,601x = 27,144,621,914.06
  5. Step 5: Solve for x
    x = 27,144,621,914.06/122,601
  6. Step 6: Final answer
    x = 221,406.20

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.