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Finding the Third Proportional to 99,403.88 and 213,639.75

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Solution

The third proportional to 99,403.88 and 213,639.75 is: 459,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,403.88 : 213,639.75 = 213,639.75 : x
  2. Step 2: Convert to fraction form
    99,403.88/213,639.75 = 213,639.75/x
  3. Step 3: Cross multiply
    99,403.88x = 213,639.75 × 213,639.75
  4. Step 4: Simplify right side
    99,403.88x = 45,641,942,780.06
  5. Step 5: Solve for x
    x = 45,641,942,780.06/99,403.88
  6. Step 6: Final answer
    x = 459,156.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.