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Finding the Third Proportional to 74,932 and 156,790

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Solution

The third proportional to 74,932 and 156,790 is: 328,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,932 : 156,790 = 156,790 : x
  2. Step 2: Convert to fraction form
    74,932/156,790 = 156,790/x
  3. Step 3: Cross multiply
    74,932x = 156,790 × 156,790
  4. Step 4: Simplify right side
    74,932x = 24,583,104,100
  5. Step 5: Solve for x
    x = 24,583,104,100/74,932
  6. Step 6: Final answer
    x = 328,072.17

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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.