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Finding the Third Proportional to 126,610 and 200,485

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Solution

The third proportional to 126,610 and 200,485 is: 317,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,610 : 200,485 = 200,485 : x
  2. Step 2: Convert to fraction form
    126,610/200,485 = 200,485/x
  3. Step 3: Cross multiply
    126,610x = 200,485 × 200,485
  4. Step 4: Simplify right side
    126,610x = 40,194,235,225
  5. Step 5: Solve for x
    x = 40,194,235,225/126,610
  6. Step 6: Final answer
    x = 317,464.93

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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.