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Finding the Third Proportional to 136,836 and 200,520

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Solution

The third proportional to 136,836 and 200,520 is: 293,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,836 : 200,520 = 200,520 : x
  2. Step 2: Convert to fraction form
    136,836/200,520 = 200,520/x
  3. Step 3: Cross multiply
    136,836x = 200,520 × 200,520
  4. Step 4: Simplify right side
    136,836x = 40,208,270,400
  5. Step 5: Solve for x
    x = 40,208,270,400/136,836
  6. Step 6: Final answer
    x = 293,842.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.