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Finding the Third Proportional to 538,220 and 832,838

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Solution

The third proportional to 538,220 and 832,838 is: 1,288,727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,220 : 832,838 = 832,838 : x
  2. Step 2: Convert to fraction form
    538,220/832,838 = 832,838/x
  3. Step 3: Cross multiply
    538,220x = 832,838 × 832,838
  4. Step 4: Simplify right side
    538,220x = 693,619,134,244
  5. Step 5: Solve for x
    x = 693,619,134,244/538,220
  6. Step 6: Final answer
    x = 1,288,727.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.