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Finding the Third Proportional to 47,945 and 74,442

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Solution

The third proportional to 47,945 and 74,442 is: 115,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,945 : 74,442 = 74,442 : x
  2. Step 2: Convert to fraction form
    47,945/74,442 = 74,442/x
  3. Step 3: Cross multiply
    47,945x = 74,442 × 74,442
  4. Step 4: Simplify right side
    47,945x = 5,541,611,364
  5. Step 5: Solve for x
    x = 5,541,611,364/47,945
  6. Step 6: Final answer
    x = 115,582.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.