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Finding the Third Proportional to 387,504 and 836,160

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Solution

The third proportional to 387,504 and 836,160 is: 1,804,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,504 : 836,160 = 836,160 : x
  2. Step 2: Convert to fraction form
    387,504/836,160 = 836,160/x
  3. Step 3: Cross multiply
    387,504x = 836,160 × 836,160
  4. Step 4: Simplify right side
    387,504x = 699,163,545,600
  5. Step 5: Solve for x
    x = 699,163,545,600/387,504
  6. Step 6: Final answer
    x = 1,804,274.40

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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.