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Finding the Third Proportional to 55,410.19 and 114,761.81

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Solution

The third proportional to 55,410.19 and 114,761.81 is: 237,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,410.19 : 114,761.81 = 114,761.81 : x
  2. Step 2: Convert to fraction form
    55,410.19/114,761.81 = 114,761.81/x
  3. Step 3: Cross multiply
    55,410.19x = 114,761.81 × 114,761.81
  4. Step 4: Simplify right side
    55,410.19x = 13,170,273,608.29
  5. Step 5: Solve for x
    x = 13,170,273,608.29/55,410.19
  6. Step 6: Final answer
    x = 237,686.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.