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Finding the Third Proportional to 641,000 and 1,367,797

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Solution

The third proportional to 641,000 and 1,367,797 is: 2,918,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,000 : 1,367,797 = 1,367,797 : x
  2. Step 2: Convert to fraction form
    641,000/1,367,797 = 1,367,797/x
  3. Step 3: Cross multiply
    641,000x = 1,367,797 × 1,367,797
  4. Step 4: Simplify right side
    641,000x = 1,870,868,633,209
  5. Step 5: Solve for x
    x = 1,870,868,633,209/641,000
  6. Step 6: Final answer
    x = 2,918,671.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.