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Finding the Third Proportional to 93,468.50 and 205,628

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Solution

The third proportional to 93,468.50 and 205,628 is: 452,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,468.50 : 205,628 = 205,628 : x
  2. Step 2: Convert to fraction form
    93,468.50/205,628 = 205,628/x
  3. Step 3: Cross multiply
    93,468.50x = 205,628 × 205,628
  4. Step 4: Simplify right side
    93,468.50x = 42,282,874,384
  5. Step 5: Solve for x
    x = 42,282,874,384/93,468.50
  6. Step 6: Final answer
    x = 452,375.66

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