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Finding the Third Proportional to 121,707.56 and 263,943.56

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Solution

The third proportional to 121,707.56 and 263,943.56 is: 572,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,707.56 : 263,943.56 = 263,943.56 : x
  2. Step 2: Convert to fraction form
    121,707.56/263,943.56 = 263,943.56/x
  3. Step 3: Cross multiply
    121,707.56x = 263,943.56 × 263,943.56
  4. Step 4: Simplify right side
    121,707.56x = 69,666,204,185.19
  5. Step 5: Solve for x
    x = 69,666,204,185.19/121,707.56
  6. Step 6: Final answer
    x = 572,406.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.