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Finding the Third Proportional to 126,643 and 200,535

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Solution

The third proportional to 126,643 and 200,535 is: 317,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,643 : 200,535 = 200,535 : x
  2. Step 2: Convert to fraction form
    126,643/200,535 = 200,535/x
  3. Step 3: Cross multiply
    126,643x = 200,535 × 200,535
  4. Step 4: Simplify right side
    126,643x = 40,214,286,225
  5. Step 5: Solve for x
    x = 40,214,286,225/126,643
  6. Step 6: Final answer
    x = 317,540.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.