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Finding the Third Proportional to 149,107 and 320,462

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Solution

The third proportional to 149,107 and 320,462 is: 688,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,107 : 320,462 = 320,462 : x
  2. Step 2: Convert to fraction form
    149,107/320,462 = 320,462/x
  3. Step 3: Cross multiply
    149,107x = 320,462 × 320,462
  4. Step 4: Simplify right side
    149,107x = 102,695,893,444
  5. Step 5: Solve for x
    x = 102,695,893,444/149,107
  6. Step 6: Final answer
    x = 688,739.59

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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.