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Finding the Third Proportional to 93,755 and 208,246

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Solution

The third proportional to 93,755 and 208,246 is: 462,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,755 : 208,246 = 208,246 : x
  2. Step 2: Convert to fraction form
    93,755/208,246 = 208,246/x
  3. Step 3: Cross multiply
    93,755x = 208,246 × 208,246
  4. Step 4: Simplify right side
    93,755x = 43,366,396,516
  5. Step 5: Solve for x
    x = 43,366,396,516/93,755
  6. Step 6: Final answer
    x = 462,550.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.