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Finding the Third Proportional to 55,216.50 and 121,280.25

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Solution

The third proportional to 55,216.50 and 121,280.25 is: 266,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,216.50 : 121,280.25 = 121,280.25 : x
  2. Step 2: Convert to fraction form
    55,216.50/121,280.25 = 121,280.25/x
  3. Step 3: Cross multiply
    55,216.50x = 121,280.25 × 121,280.25
  4. Step 4: Simplify right side
    55,216.50x = 14,708,899,040.06
  5. Step 5: Solve for x
    x = 14,708,899,040.06/55,216.50
  6. Step 6: Final answer
    x = 266,385.94

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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.