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Finding the Third Proportional to 105,112.69 and 154,320.19

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Solution

The third proportional to 105,112.69 and 154,320.19 is: 226,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,112.69 : 154,320.19 = 154,320.19 : x
  2. Step 2: Convert to fraction form
    105,112.69/154,320.19 = 154,320.19/x
  3. Step 3: Cross multiply
    105,112.69x = 154,320.19 × 154,320.19
  4. Step 4: Simplify right side
    105,112.69x = 23,814,720,270.04
  5. Step 5: Solve for x
    x = 23,814,720,270.04/105,112.69
  6. Step 6: Final answer
    x = 226,563.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.