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Finding the Third Proportional to 90,810 and 179,301

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Solution

The third proportional to 90,810 and 179,301 is: 354,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,810 : 179,301 = 179,301 : x
  2. Step 2: Convert to fraction form
    90,810/179,301 = 179,301/x
  3. Step 3: Cross multiply
    90,810x = 179,301 × 179,301
  4. Step 4: Simplify right side
    90,810x = 32,148,848,601
  5. Step 5: Solve for x
    x = 32,148,848,601/90,810
  6. Step 6: Final answer
    x = 354,023.22

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.