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Finding the Third Proportional to 388,632 and 836,313

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Solution

The third proportional to 388,632 and 836,313 is: 1,799,695.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,632 : 836,313 = 836,313 : x
  2. Step 2: Convert to fraction form
    388,632/836,313 = 836,313/x
  3. Step 3: Cross multiply
    388,632x = 836,313 × 836,313
  4. Step 4: Simplify right side
    388,632x = 699,419,433,969
  5. Step 5: Solve for x
    x = 699,419,433,969/388,632
  6. Step 6: Final answer
    x = 1,799,695.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.