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Finding the Third Proportional to 92,940 and 107,412

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Solution

The third proportional to 92,940 and 107,412 is: 124,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,940 : 107,412 = 107,412 : x
  2. Step 2: Convert to fraction form
    92,940/107,412 = 107,412/x
  3. Step 3: Cross multiply
    92,940x = 107,412 × 107,412
  4. Step 4: Simplify right side
    92,940x = 11,537,337,744
  5. Step 5: Solve for x
    x = 11,537,337,744/92,940
  6. Step 6: Final answer
    x = 124,137.48

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.