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Finding the Third Proportional to 137,916 and 200,880

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Solution

The third proportional to 137,916 and 200,880 is: 292,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,916 : 200,880 = 200,880 : x
  2. Step 2: Convert to fraction form
    137,916/200,880 = 200,880/x
  3. Step 3: Cross multiply
    137,916x = 200,880 × 200,880
  4. Step 4: Simplify right side
    137,916x = 40,352,774,400
  5. Step 5: Solve for x
    x = 40,352,774,400/137,916
  6. Step 6: Final answer
    x = 292,589.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.