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Finding the Third Proportional to 149,107 and 320,460

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Solution

The third proportional to 149,107 and 320,460 is: 688,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,107 : 320,460 = 320,460 : x
  2. Step 2: Convert to fraction form
    149,107/320,460 = 320,460/x
  3. Step 3: Cross multiply
    149,107x = 320,460 × 320,460
  4. Step 4: Simplify right side
    149,107x = 102,694,611,600
  5. Step 5: Solve for x
    x = 102,694,611,600/149,107
  6. Step 6: Final answer
    x = 688,730.99

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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.