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Finding the Third Proportional to 168,324.96 and 257,520.67

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Solution

The third proportional to 168,324.96 and 257,520.67 is: 393,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,324.96 : 257,520.67 = 257,520.67 : x
  2. Step 2: Convert to fraction form
    168,324.96/257,520.67 = 257,520.67/x
  3. Step 3: Cross multiply
    168,324.96x = 257,520.67 × 257,520.67
  4. Step 4: Simplify right side
    168,324.96x = 66,316,897,448.89
  5. Step 5: Solve for x
    x = 66,316,897,448.89/168,324.96
  6. Step 6: Final answer
    x = 393,981.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.