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Finding the Third Proportional to 47,940 and 105,420

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Solution

The third proportional to 47,940 and 105,420 is: 231,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,940 : 105,420 = 105,420 : x
  2. Step 2: Convert to fraction form
    47,940/105,420 = 105,420/x
  3. Step 3: Cross multiply
    47,940x = 105,420 × 105,420
  4. Step 4: Simplify right side
    47,940x = 11,113,376,400
  5. Step 5: Solve for x
    x = 11,113,376,400/47,940
  6. Step 6: Final answer
    x = 231,818.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.