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Finding the Third Proportional to 143,445.94 and 315,201.38

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Solution

The third proportional to 143,445.94 and 315,201.38 is: 692,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,445.94 : 315,201.38 = 315,201.38 : x
  2. Step 2: Convert to fraction form
    143,445.94/315,201.38 = 315,201.38/x
  3. Step 3: Cross multiply
    143,445.94x = 315,201.38 × 315,201.38
  4. Step 4: Simplify right side
    143,445.94x = 99,351,906,801.89
  5. Step 5: Solve for x
    x = 99,351,906,801.89/143,445.94
  6. Step 6: Final answer
    x = 692,608.72

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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.