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Finding the Third Proportional to 297,750 and 647,983.50

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Solution

The third proportional to 297,750 and 647,983.50 is: 1,410,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,750 : 647,983.50 = 647,983.50 : x
  2. Step 2: Convert to fraction form
    297,750/647,983.50 = 647,983.50/x
  3. Step 3: Cross multiply
    297,750x = 647,983.50 × 647,983.50
  4. Step 4: Simplify right side
    297,750x = 419,882,616,272.25
  5. Step 5: Solve for x
    x = 419,882,616,272.25/297,750
  6. Step 6: Final answer
    x = 1,410,185.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.