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Finding the Third Proportional to 157,038 and 326,172

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Solution

The third proportional to 157,038 and 326,172 is: 677,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,038 : 326,172 = 326,172 : x
  2. Step 2: Convert to fraction form
    157,038/326,172 = 326,172/x
  3. Step 3: Cross multiply
    157,038x = 326,172 × 326,172
  4. Step 4: Simplify right side
    157,038x = 106,388,173,584
  5. Step 5: Solve for x
    x = 106,388,173,584/157,038
  6. Step 6: Final answer
    x = 677,467.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.