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Finding the Third Proportional to 389,632 and 835,356

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Solution

The third proportional to 389,632 and 835,356 is: 1,790,971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,632 : 835,356 = 835,356 : x
  2. Step 2: Convert to fraction form
    389,632/835,356 = 835,356/x
  3. Step 3: Cross multiply
    389,632x = 835,356 × 835,356
  4. Step 4: Simplify right side
    389,632x = 697,819,646,736
  5. Step 5: Solve for x
    x = 697,819,646,736/389,632
  6. Step 6: Final answer
    x = 1,790,971.09

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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.