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Finding the Third Proportional to 157,488 and 212,172

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Solution

The third proportional to 157,488 and 212,172 is: 285,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,488 : 212,172 = 212,172 : x
  2. Step 2: Convert to fraction form
    157,488/212,172 = 212,172/x
  3. Step 3: Cross multiply
    157,488x = 212,172 × 212,172
  4. Step 4: Simplify right side
    157,488x = 45,016,957,584
  5. Step 5: Solve for x
    x = 45,016,957,584/157,488
  6. Step 6: Final answer
    x = 285,843.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.