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Finding the Third Proportional to 386,197 and 807,703

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Solution

The third proportional to 386,197 and 807,703 is: 1,689,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,197 : 807,703 = 807,703 : x
  2. Step 2: Convert to fraction form
    386,197/807,703 = 807,703/x
  3. Step 3: Cross multiply
    386,197x = 807,703 × 807,703
  4. Step 4: Simplify right side
    386,197x = 652,384,136,209
  5. Step 5: Solve for x
    x = 652,384,136,209/386,197
  6. Step 6: Final answer
    x = 1,689,252.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.