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Finding the Third Proportional to 148,125.38 and 318,729.38

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Solution

The third proportional to 148,125.38 and 318,729.38 is: 685,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,125.38 : 318,729.38 = 318,729.38 : x
  2. Step 2: Convert to fraction form
    148,125.38/318,729.38 = 318,729.38/x
  3. Step 3: Cross multiply
    148,125.38x = 318,729.38 × 318,729.38
  4. Step 4: Simplify right side
    148,125.38x = 101,588,414,487.89
  5. Step 5: Solve for x
    x = 101,588,414,487.89/148,125.38
  6. Step 6: Final answer
    x = 685,827.22

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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.