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Finding the Third Proportional to 168,147 and 257,146

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Solution

The third proportional to 168,147 and 257,146 is: 393,251.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,147 : 257,146 = 257,146 : x
  2. Step 2: Convert to fraction form
    168,147/257,146 = 257,146/x
  3. Step 3: Cross multiply
    168,147x = 257,146 × 257,146
  4. Step 4: Simplify right side
    168,147x = 66,124,065,316
  5. Step 5: Solve for x
    x = 66,124,065,316/168,147
  6. Step 6: Final answer
    x = 393,251.53

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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.