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Finding the Third Proportional to 387,540 and 836,208

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Solution

The third proportional to 387,540 and 836,208 is: 1,804,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,540 : 836,208 = 836,208 : x
  2. Step 2: Convert to fraction form
    387,540/836,208 = 836,208/x
  3. Step 3: Cross multiply
    387,540x = 836,208 × 836,208
  4. Step 4: Simplify right side
    387,540x = 699,243,819,264
  5. Step 5: Solve for x
    x = 699,243,819,264/387,540
  6. Step 6: Final answer
    x = 1,804,313.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.