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Finding the Third Proportional to 126,606.50 and 200,480.50

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Solution

The third proportional to 126,606.50 and 200,480.50 is: 317,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,606.50 : 200,480.50 = 200,480.50 : x
  2. Step 2: Convert to fraction form
    126,606.50/200,480.50 = 200,480.50/x
  3. Step 3: Cross multiply
    126,606.50x = 200,480.50 × 200,480.50
  4. Step 4: Simplify right side
    126,606.50x = 40,192,430,880.25
  5. Step 5: Solve for x
    x = 40,192,430,880.25/126,606.50
  6. Step 6: Final answer
    x = 317,459.46

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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.