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Finding the Third Proportional to 216,858.94 and 469,919.81

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Solution

The third proportional to 216,858.94 and 469,919.81 is: 1,018,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,858.94 : 469,919.81 = 469,919.81 : x
  2. Step 2: Convert to fraction form
    216,858.94/469,919.81 = 469,919.81/x
  3. Step 3: Cross multiply
    216,858.94x = 469,919.81 × 469,919.81
  4. Step 4: Simplify right side
    216,858.94x = 220,824,630,180.04
  5. Step 5: Solve for x
    x = 220,824,630,180.04/216,858.94
  6. Step 6: Final answer
    x = 1,018,286.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.