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Finding the Third Proportional to 389,586 and 810,348

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Solution

The third proportional to 389,586 and 810,348 is: 1,685,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,586 : 810,348 = 810,348 : x
  2. Step 2: Convert to fraction form
    389,586/810,348 = 810,348/x
  3. Step 3: Cross multiply
    389,586x = 810,348 × 810,348
  4. Step 4: Simplify right side
    389,586x = 656,663,881,104
  5. Step 5: Solve for x
    x = 656,663,881,104/389,586
  6. Step 6: Final answer
    x = 1,685,542.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.