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Finding the Third Proportional to 386,192 and 807,695

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Solution

The third proportional to 386,192 and 807,695 is: 1,689,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,192 : 807,695 = 807,695 : x
  2. Step 2: Convert to fraction form
    386,192/807,695 = 807,695/x
  3. Step 3: Cross multiply
    386,192x = 807,695 × 807,695
  4. Step 4: Simplify right side
    386,192x = 652,371,213,025
  5. Step 5: Solve for x
    x = 652,371,213,025/386,192
  6. Step 6: Final answer
    x = 1,689,240.62

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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.