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Finding the Third Proportional to 74,981 and 156,844

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Solution

The third proportional to 74,981 and 156,844 is: 328,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,981 : 156,844 = 156,844 : x
  2. Step 2: Convert to fraction form
    74,981/156,844 = 156,844/x
  3. Step 3: Cross multiply
    74,981x = 156,844 × 156,844
  4. Step 4: Simplify right side
    74,981x = 24,600,040,336
  5. Step 5: Solve for x
    x = 24,600,040,336/74,981
  6. Step 6: Final answer
    x = 328,083.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.