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Finding the Third Proportional to 149,314 and 324,871

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Solution

The third proportional to 149,314 and 324,871 is: 706,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,314 : 324,871 = 324,871 : x
  2. Step 2: Convert to fraction form
    149,314/324,871 = 324,871/x
  3. Step 3: Cross multiply
    149,314x = 324,871 × 324,871
  4. Step 4: Simplify right side
    149,314x = 105,541,166,641
  5. Step 5: Solve for x
    x = 105,541,166,641/149,314
  6. Step 6: Final answer
    x = 706,840.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.