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Finding the Third Proportional to 168,145.88 and 257,144.63

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Solution

The third proportional to 168,145.88 and 257,144.63 is: 393,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,145.88 : 257,144.63 = 257,144.63 : x
  2. Step 2: Convert to fraction form
    168,145.88/257,144.63 = 257,144.63/x
  3. Step 3: Cross multiply
    168,145.88x = 257,144.63 × 257,144.63
  4. Step 4: Simplify right side
    168,145.88x = 66,123,358,166.39
  5. Step 5: Solve for x
    x = 66,123,358,166.39/168,145.88
  6. Step 6: Final answer
    x = 393,249.96

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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.