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Finding the Third Proportional to 126,605.25 and 200,478.38

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Solution

The third proportional to 126,605.25 and 200,478.38 is: 317,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,605.25 : 200,478.38 = 200,478.38 : x
  2. Step 2: Convert to fraction form
    126,605.25/200,478.38 = 200,478.38/x
  3. Step 3: Cross multiply
    126,605.25x = 200,478.38 × 200,478.38
  4. Step 4: Simplify right side
    126,605.25x = 40,191,578,842.64
  5. Step 5: Solve for x
    x = 40,191,578,842.64/126,605.25
  6. Step 6: Final answer
    x = 317,455.86

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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.