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Finding the Third Proportional to 93,712 and 205,856

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Solution

The third proportional to 93,712 and 205,856 is: 452,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,712 : 205,856 = 205,856 : x
  2. Step 2: Convert to fraction form
    93,712/205,856 = 205,856/x
  3. Step 3: Cross multiply
    93,712x = 205,856 × 205,856
  4. Step 4: Simplify right side
    93,712x = 42,376,692,736
  5. Step 5: Solve for x
    x = 42,376,692,736/93,712
  6. Step 6: Final answer
    x = 452,201.35

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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.