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Finding the Third Proportional to 785,002.50 and 1,690,287.75

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Solution

The third proportional to 785,002.50 and 1,690,287.75 is: 3,639,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,002.50 : 1,690,287.75 = 1,690,287.75 : x
  2. Step 2: Convert to fraction form
    785,002.50/1,690,287.75 = 1,690,287.75/x
  3. Step 3: Cross multiply
    785,002.50x = 1,690,287.75 × 1,690,287.75
  4. Step 4: Simplify right side
    785,002.50x = 2,857,072,677,800.06
  5. Step 5: Solve for x
    x = 2,857,072,677,800.06/785,002.50
  6. Step 6: Final answer
    x = 3,639,571.44

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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.