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Finding the Third Proportional to 149,810 and 321,652

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Solution

The third proportional to 149,810 and 321,652 is: 690,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,810 : 321,652 = 321,652 : x
  2. Step 2: Convert to fraction form
    149,810/321,652 = 321,652/x
  3. Step 3: Cross multiply
    149,810x = 321,652 × 321,652
  4. Step 4: Simplify right side
    149,810x = 103,460,009,104
  5. Step 5: Solve for x
    x = 103,460,009,104/149,810
  6. Step 6: Final answer
    x = 690,608.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.