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Finding the Third Proportional to 93,325 and 143,640.50

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Solution

The third proportional to 93,325 and 143,640.50 is: 221,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,325 : 143,640.50 = 143,640.50 : x
  2. Step 2: Convert to fraction form
    93,325/143,640.50 = 143,640.50/x
  3. Step 3: Cross multiply
    93,325x = 143,640.50 × 143,640.50
  4. Step 4: Simplify right side
    93,325x = 20,632,593,240.25
  5. Step 5: Solve for x
    x = 20,632,593,240.25/93,325
  6. Step 6: Final answer
    x = 221,083.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.