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Finding the Third Proportional to 688,394.50 and 1,491,198.50

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Solution

The third proportional to 688,394.50 and 1,491,198.50 is: 3,230,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,394.50 : 1,491,198.50 = 1,491,198.50 : x
  2. Step 2: Convert to fraction form
    688,394.50/1,491,198.50 = 1,491,198.50/x
  3. Step 3: Cross multiply
    688,394.50x = 1,491,198.50 × 1,491,198.50
  4. Step 4: Simplify right side
    688,394.50x = 2,223,672,966,402.25
  5. Step 5: Solve for x
    x = 2,223,672,966,402.25/688,394.50
  6. Step 6: Final answer
    x = 3,230,230.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.