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Finding the Third Proportional to 220,960 and 345,652

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Solution

The third proportional to 220,960 and 345,652 is: 540,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,960 : 345,652 = 345,652 : x
  2. Step 2: Convert to fraction form
    220,960/345,652 = 345,652/x
  3. Step 3: Cross multiply
    220,960x = 345,652 × 345,652
  4. Step 4: Simplify right side
    220,960x = 119,475,305,104
  5. Step 5: Solve for x
    x = 119,475,305,104/220,960
  6. Step 6: Final answer
    x = 540,710.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.