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Finding the Third Proportional to 213,310.69 and 457,990.88

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Solution

The third proportional to 213,310.69 and 457,990.88 is: 983,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,310.69 : 457,990.88 = 457,990.88 : x
  2. Step 2: Convert to fraction form
    213,310.69/457,990.88 = 457,990.88/x
  3. Step 3: Cross multiply
    213,310.69x = 457,990.88 × 457,990.88
  4. Step 4: Simplify right side
    213,310.69x = 209,755,641,583.27
  5. Step 5: Solve for x
    x = 209,755,641,583.27/213,310.69
  6. Step 6: Final answer
    x = 983,333.95

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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.