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Finding the Third Proportional to 149,000 and 321,232

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Solution

The third proportional to 149,000 and 321,232 is: 692,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,000 : 321,232 = 321,232 : x
  2. Step 2: Convert to fraction form
    149,000/321,232 = 321,232/x
  3. Step 3: Cross multiply
    149,000x = 321,232 × 321,232
  4. Step 4: Simplify right side
    149,000x = 103,189,997,824
  5. Step 5: Solve for x
    x = 103,189,997,824/149,000
  6. Step 6: Final answer
    x = 692,550.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.