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Finding the Third Proportional to 99,969.19 and 213,662.81

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Solution

The third proportional to 99,969.19 and 213,662.81 is: 456,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,969.19 : 213,662.81 = 213,662.81 : x
  2. Step 2: Convert to fraction form
    99,969.19/213,662.81 = 213,662.81/x
  3. Step 3: Cross multiply
    99,969.19x = 213,662.81 × 213,662.81
  4. Step 4: Simplify right side
    99,969.19x = 45,651,797,445.41
  5. Step 5: Solve for x
    x = 45,651,797,445.41/99,969.19
  6. Step 6: Final answer
    x = 456,658.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.