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Finding the Third Proportional to 93,129.25 and 201,138.50

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Solution

The third proportional to 93,129.25 and 201,138.50 is: 434,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,129.25 : 201,138.50 = 201,138.50 : x
  2. Step 2: Convert to fraction form
    93,129.25/201,138.50 = 201,138.50/x
  3. Step 3: Cross multiply
    93,129.25x = 201,138.50 × 201,138.50
  4. Step 4: Simplify right side
    93,129.25x = 40,456,696,182.25
  5. Step 5: Solve for x
    x = 40,456,696,182.25/93,129.25
  6. Step 6: Final answer
    x = 434,414.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.