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Finding the Third Proportional to 55,509.75 and 122,089.50

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Solution

The third proportional to 55,509.75 and 122,089.50 is: 268,526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,509.75 : 122,089.50 = 122,089.50 : x
  2. Step 2: Convert to fraction form
    55,509.75/122,089.50 = 122,089.50/x
  3. Step 3: Cross multiply
    55,509.75x = 122,089.50 × 122,089.50
  4. Step 4: Simplify right side
    55,509.75x = 14,905,846,010.25
  5. Step 5: Solve for x
    x = 14,905,846,010.25/55,509.75
  6. Step 6: Final answer
    x = 268,526.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.