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Finding the Third Proportional to 61,400 and 128,992

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Solution

The third proportional to 61,400 and 128,992 is: 270,992.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,400 : 128,992 = 128,992 : x
  2. Step 2: Convert to fraction form
    61,400/128,992 = 128,992/x
  3. Step 3: Cross multiply
    61,400x = 128,992 × 128,992
  4. Step 4: Simplify right side
    61,400x = 16,638,936,064
  5. Step 5: Solve for x
    x = 16,638,936,064/61,400
  6. Step 6: Final answer
    x = 270,992.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.