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Finding the Third Proportional to 93,824 and 204,480

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Solution

The third proportional to 93,824 and 204,480 is: 445,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,824 : 204,480 = 204,480 : x
  2. Step 2: Convert to fraction form
    93,824/204,480 = 204,480/x
  3. Step 3: Cross multiply
    93,824x = 204,480 × 204,480
  4. Step 4: Simplify right side
    93,824x = 41,812,070,400
  5. Step 5: Solve for x
    x = 41,812,070,400/93,824
  6. Step 6: Final answer
    x = 445,643.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.