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Finding the Third Proportional to 136,472 and 200,806

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Solution

The third proportional to 136,472 and 200,806 is: 295,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,472 : 200,806 = 200,806 : x
  2. Step 2: Convert to fraction form
    136,472/200,806 = 200,806/x
  3. Step 3: Cross multiply
    136,472x = 200,806 × 200,806
  4. Step 4: Simplify right side
    136,472x = 40,323,049,636
  5. Step 5: Solve for x
    x = 40,323,049,636/136,472
  6. Step 6: Final answer
    x = 295,467.57

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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.