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Finding the Third Proportional to 55,128.09 and 120,763.41

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Solution

The third proportional to 55,128.09 and 120,763.41 is: 264,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,128.09 : 120,763.41 = 120,763.41 : x
  2. Step 2: Convert to fraction form
    55,128.09/120,763.41 = 120,763.41/x
  3. Step 3: Cross multiply
    55,128.09x = 120,763.41 × 120,763.41
  4. Step 4: Simplify right side
    55,128.09x = 14,583,800,289.10
  5. Step 5: Solve for x
    x = 14,583,800,289.10/55,128.09
  6. Step 6: Final answer
    x = 264,543.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.