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Finding the Third Proportional to 93,840 and 206,880

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Solution

The third proportional to 93,840 and 206,880 is: 456,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,840 : 206,880 = 206,880 : x
  2. Step 2: Convert to fraction form
    93,840/206,880 = 206,880/x
  3. Step 3: Cross multiply
    93,840x = 206,880 × 206,880
  4. Step 4: Simplify right side
    93,840x = 42,799,334,400
  5. Step 5: Solve for x
    x = 42,799,334,400/93,840
  6. Step 6: Final answer
    x = 456,088.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.