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Finding the Third Proportional to 221,533.13 and 485,951.81

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Solution

The third proportional to 221,533.13 and 485,951.81 is: 1,065,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,533.13 : 485,951.81 = 485,951.81 : x
  2. Step 2: Convert to fraction form
    221,533.13/485,951.81 = 485,951.81/x
  3. Step 3: Cross multiply
    221,533.13x = 485,951.81 × 485,951.81
  4. Step 4: Simplify right side
    221,533.13x = 236,149,164,072.04
  5. Step 5: Solve for x
    x = 236,149,164,072.04/221,533.13
  6. Step 6: Final answer
    x = 1,065,976.77

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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.