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Finding the Third Proportional to 61,857 and 137,880

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Solution

The third proportional to 61,857 and 137,880 is: 307,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,857 : 137,880 = 137,880 : x
  2. Step 2: Convert to fraction form
    61,857/137,880 = 137,880/x
  3. Step 3: Cross multiply
    61,857x = 137,880 × 137,880
  4. Step 4: Simplify right side
    61,857x = 19,010,894,400
  5. Step 5: Solve for x
    x = 19,010,894,400/61,857
  6. Step 6: Final answer
    x = 307,336.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.