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Finding the Third Proportional to 74,770 and 159,906

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Solution

The third proportional to 74,770 and 159,906 is: 341,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,770 : 159,906 = 159,906 : x
  2. Step 2: Convert to fraction form
    74,770/159,906 = 159,906/x
  3. Step 3: Cross multiply
    74,770x = 159,906 × 159,906
  4. Step 4: Simplify right side
    74,770x = 25,569,928,836
  5. Step 5: Solve for x
    x = 25,569,928,836/74,770
  6. Step 6: Final answer
    x = 341,981.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.