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Finding the Third Proportional to 149,712 and 218,995

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Solution

The third proportional to 149,712 and 218,995 is: 320,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,712 : 218,995 = 218,995 : x
  2. Step 2: Convert to fraction form
    149,712/218,995 = 218,995/x
  3. Step 3: Cross multiply
    149,712x = 218,995 × 218,995
  4. Step 4: Simplify right side
    149,712x = 47,958,810,025
  5. Step 5: Solve for x
    x = 47,958,810,025/149,712
  6. Step 6: Final answer
    x = 320,340.45

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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.