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Finding the Third Proportional to 643,115 and 996,816

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Solution

The third proportional to 643,115 and 996,816 is: 1,545,045.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,115 : 996,816 = 996,816 : x
  2. Step 2: Convert to fraction form
    643,115/996,816 = 996,816/x
  3. Step 3: Cross multiply
    643,115x = 996,816 × 996,816
  4. Step 4: Simplify right side
    643,115x = 993,642,137,856
  5. Step 5: Solve for x
    x = 993,642,137,856/643,115
  6. Step 6: Final answer
    x = 1,545,045.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.