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Finding the Third Proportional to 163,840 and 345,168

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Solution

The third proportional to 163,840 and 345,168 is: 727,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,840 : 345,168 = 345,168 : x
  2. Step 2: Convert to fraction form
    163,840/345,168 = 345,168/x
  3. Step 3: Cross multiply
    163,840x = 345,168 × 345,168
  4. Step 4: Simplify right side
    163,840x = 119,140,948,224
  5. Step 5: Solve for x
    x = 119,140,948,224/163,840
  6. Step 6: Final answer
    x = 727,178.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.