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Finding the Third Proportional to 146,893.50 and 315,930.38

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Solution

The third proportional to 146,893.50 and 315,930.38 is: 679,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,893.50 : 315,930.38 = 315,930.38 : x
  2. Step 2: Convert to fraction form
    146,893.50/315,930.38 = 315,930.38/x
  3. Step 3: Cross multiply
    146,893.50x = 315,930.38 × 315,930.38
  4. Step 4: Simplify right side
    146,893.50x = 99,812,001,847.64
  5. Step 5: Solve for x
    x = 99,812,001,847.64/146,893.50
  6. Step 6: Final answer
    x = 679,485.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.