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Finding the Third Proportional to 118,226 and 162,573

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Solution

The third proportional to 118,226 and 162,573 is: 223,554.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,226 : 162,573 = 162,573 : x
  2. Step 2: Convert to fraction form
    118,226/162,573 = 162,573/x
  3. Step 3: Cross multiply
    118,226x = 162,573 × 162,573
  4. Step 4: Simplify right side
    118,226x = 26,429,980,329
  5. Step 5: Solve for x
    x = 26,429,980,329/118,226
  6. Step 6: Final answer
    x = 223,554.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.