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Finding the Third Proportional to 149,710 and 218,992

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Solution

The third proportional to 149,710 and 218,992 is: 320,335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,710 : 218,992 = 218,992 : x
  2. Step 2: Convert to fraction form
    149,710/218,992 = 218,992/x
  3. Step 3: Cross multiply
    149,710x = 218,992 × 218,992
  4. Step 4: Simplify right side
    149,710x = 47,957,496,064
  5. Step 5: Solve for x
    x = 47,957,496,064/149,710
  6. Step 6: Final answer
    x = 320,335.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.