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Finding the Third Proportional to 116,121 and 268,810.50

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Solution

The third proportional to 116,121 and 268,810.50 is: 622,274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,121 : 268,810.50 = 268,810.50 : x
  2. Step 2: Convert to fraction form
    116,121/268,810.50 = 268,810.50/x
  3. Step 3: Cross multiply
    116,121x = 268,810.50 × 268,810.50
  4. Step 4: Simplify right side
    116,121x = 72,259,084,910.25
  5. Step 5: Solve for x
    x = 72,259,084,910.25/116,121
  6. Step 6: Final answer
    x = 622,274.05

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.