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Finding the Third Proportional to 74,610 and 161,860

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Solution

The third proportional to 74,610 and 161,860 is: 351,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,610 : 161,860 = 161,860 : x
  2. Step 2: Convert to fraction form
    74,610/161,860 = 161,860/x
  3. Step 3: Cross multiply
    74,610x = 161,860 × 161,860
  4. Step 4: Simplify right side
    74,610x = 26,198,659,600
  5. Step 5: Solve for x
    x = 26,198,659,600/74,610
  6. Step 6: Final answer
    x = 351,141.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.