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Finding the Third Proportional to 161,440 and 345,120

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Solution

The third proportional to 161,440 and 345,120 is: 737,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,440 : 345,120 = 345,120 : x
  2. Step 2: Convert to fraction form
    161,440/345,120 = 345,120/x
  3. Step 3: Cross multiply
    161,440x = 345,120 × 345,120
  4. Step 4: Simplify right side
    161,440x = 119,107,814,400
  5. Step 5: Solve for x
    x = 119,107,814,400/161,440
  6. Step 6: Final answer
    x = 737,783.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.