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Finding the Third Proportional to 163,910 and 354,064

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Solution

The third proportional to 163,910 and 354,064 is: 764,817.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,910 : 354,064 = 354,064 : x
  2. Step 2: Convert to fraction form
    163,910/354,064 = 354,064/x
  3. Step 3: Cross multiply
    163,910x = 354,064 × 354,064
  4. Step 4: Simplify right side
    163,910x = 125,361,316,096
  5. Step 5: Solve for x
    x = 125,361,316,096/163,910
  6. Step 6: Final answer
    x = 764,817.99

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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.