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Finding the Third Proportional to 149,062 and 218,840

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Solution

The third proportional to 149,062 and 218,840 is: 321,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,062 : 218,840 = 218,840 : x
  2. Step 2: Convert to fraction form
    149,062/218,840 = 218,840/x
  3. Step 3: Cross multiply
    149,062x = 218,840 × 218,840
  4. Step 4: Simplify right side
    149,062x = 47,890,945,600
  5. Step 5: Solve for x
    x = 47,890,945,600/149,062
  6. Step 6: Final answer
    x = 321,282.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.