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Finding the Third Proportional to 820,827 and 1,755,135

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Solution

The third proportional to 820,827 and 1,755,135 is: 3,752,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,827 : 1,755,135 = 1,755,135 : x
  2. Step 2: Convert to fraction form
    820,827/1,755,135 = 1,755,135/x
  3. Step 3: Cross multiply
    820,827x = 1,755,135 × 1,755,135
  4. Step 4: Simplify right side
    820,827x = 3,080,498,868,225
  5. Step 5: Solve for x
    x = 3,080,498,868,225/820,827
  6. Step 6: Final answer
    x = 3,752,920.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.